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the outside shell is the same. the insert is different in appearance but is totally useable. just make sure you use both inserts from one truck, so they look the same.
You can put the 78 grill on the 77 also but a few things are different you need the 78 shell and the little metal pieces at the end of the fenders on the 78, they are on top just inside the grill on the top of the fender. they are about 4"x 4" you also need the headlight buckets and may need to drill new holes for them.