I have a shapefile that I use regularly in ArcGIS Desktop (now 10.5.1) and the shapefile lines up properly with the ArcGIS Imagery basemap. The shapefile is projection is Lambert Conformal Conic, projected coordinate system is NAD_1927_StatePlane_California_VI_FIPS_0406 . When I add the shapefile to a map in ArcGIS Pro 2.0 with the ArcGIS Imagery basemap I get different results. The features in the shapefile are shifted about 260 ft to the west.
I'm assuming that this is a projection problem and that I need to reproject the shapefile, but I'm confused as to why the results would be different between ArcGIS Desktop 10.5.1 and ArcGIS Pro 2.0.