Yesterday, restaurant made 6 pizzas using 509.4 grams of cheese. Each pizza had the same amount of cheese. Tomorrow, the restaurant plans to make 8 pizzas, with the same amount of cheese in each pizza as yesterday.

The amount of cheese used in each ______ gram

How much cheese would be used in 8 pizzas? ______ grams

The amount of cheese used in each pizza is 509.4 grams / 6 pizzas = 84.9 grams.

If the restaurant makes 8 pizzas tomorrow, they would use 84.9 grams/pizza * 8 pizzas = <<84.9*8=679.2>>679.2 grams of cheese. Answer: \boxed{679.2}.