Here is the corrected passage with the mistakes identified and corrected:

**Corrected Passage:**

When Alaska became one of the United States in 1959, it increased the size of the USA to one-fifth. Yet this huge state, with the largest mountain in North America, has the second smallest population. This means that there are still large numbers of wild animals such as polar bears, moose, and seals, and trapping and hunting are major businesses. The largest group of native people living in Alaska is the Inuit, who were formerly known as Eskimos. Most of them hunt or fish, but some of those living in cities are involved in government work. Anchorage is the largest city in the state, with a population of around 230,000. In 1964, large areas of the city center were destroyed in an earthquake, but the people soon rebuilt the offices and apartment buildings. Despite being only 571 kilometers south of the Arctic Circle, Anchorage has surprisingly mild weather. Because of its remote location, Anchorage attracts many tourists who want to experience life in the wild; a considerable number of them fly into Anchorage International Airport before renting a pilot and setting off into the remote areas of Alaska.

**List of Corrections:**

1. "to a fifth" → "to one-fifth" (clarified expression).
2. "the smallest second population" → "the second smallest population" (correct word order).
3. "mosse" → "moose" (spelling error).
4. "live in Alaska is the Inuit" → "living in Alaska is the Inuit" (correct grammatical structure).
5. "who used to be known Eskimos" → "who were formerly known as Eskimos" (correct tense and phrasing).
6. "was destroyed" → "were destroyed" (correct subject-verb agreement).
7. "the officers and apartment buildings" → "the offices and apartment buildings" (spelling error).
8. "Despite it is" → "Despite being" (correct grammatical structure).
9. "mild weather" → "surprisingly mild weather" (added the word 'surprisingly' for clarity).
10. "a considerate number of them fly Into" → "a considerable number of them fly into" (correct wording and casing).