Final answer:
The common goal of the Populists and the Progressives was greater control of government by the people.
Step-by-step explanation:
The common goal of the Populists and the Progressives was greater control of government by the people. Both movements aimed to make the government more responsive to the needs of its citizens and to end political corruption. Populists sought to give more power to the people by directly electing U.S. senators, while Progressives advocated for a more democratic voting process, where voters could directly vote on proposed legislation and recall corrupt officials.