Carrot Gazpacho with Chopped Salad

Name: Carrot Gazpacho with Chopped Salad
Ingredients: 1 1/4 cups chilled fresh carrot juice; 1 cup coarsely grated carrot plus; 1/3 cup finely diced carrot, divided; 1 1/2 cups whole grape tomatoes, plus; 1/3 cup finely diced grape tomatoes, divided; 1 1/2 cups peeled and diced Persian cucumbers, plus 1/3 cup finely diced Persian cucumbers, divided; 1/2 cup finely chopped onion; 1 Tbs. sherry vinegar; 1 tsp. prepared white horseradish; 1/2 tsp. red pepper flakes; 1 cup chopped romaine lettuce; 1 Tbs. olive oil