What does the boys find out about the name city they were looking for bud not buddy?

In "Bud, Not Buddy" by Christopher Paul Curtis, the protagonist Bud discovers that the name of the city he is searching for is Grand Rapids, Michigan. This revelation comes after he learns about his mother’s past and the significance of the place in relation to his family's history. The name becomes a crucial part of his journey as he seeks to connect with his roots and find his father. Overall, the discovery of Grand Rapids symbolizes hope and the quest for identity.