USA, five-time champions, sealed their place at the tournament courtesy of a 78-70 win over Uruguay in Montevideo in Group E of qualifying.
Eric Moreland had a double-double for the winners, contributing 10 points and 13 rebounds, while Travis Trice scored 17 points.
Argentina also moved through from the same group after cruising to an 85-71 win over Mexico in La Rioja.
In Europe, 2006 winners Spain and Turkey sealed qualification from Group I on Sunday.
Spain scraped past Ukraine 72-68, while Turkey progressed despite a 71-66 loss to Montenegro.
While Montenegro sit third in the group, Latvia are level on points after an 82-77 victory over Slovenia.
In Group J, qualified Lithuania thrashed Croatia 79-62, Poland cruised past Italy 94-78 and Hungary needed overtime to beat Netherlands 91-86.
New Zealand and South Korea booked their spots from Asia after wins over Syria and Jordan respectively.
In Africa, Cameroon kept their chances alive by crushing Egypt 80-60, while Angola beat Tunisia in a clash between two nations who will be at the tournament next year.
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