Problems in processing seasonal adjustment data

The variables used in the DSGE model are actual variables. Before the variables are used, they need to be divided by the price index to get the actual variables, and then seasonal adjustment. But when collecting data, I found that the macro data of the United States have basically been seasonally adjusted. In this case, how can I obtain the time series of actual variables? For example, can I use the Seasonally Adjusted GDP divided by the seasonally adjusted CPI to get the seasonally adjusted actual variable data series?

Yes, that should work.