Combine water, bulgur, ½ cup juice, and 1 teaspoon salt in a large saucepan; bring to a boil over medium-high heat. Cover, reduce heat, and simmer 5 minutes. Remove from heat; let stand 15 minutes or until liquid is absorbed. Uncover and cool to room temperature.
Combine remaining ¼ cup juice, remaining 1 teaspoon salt, and remaining ingredients in a large bowl; toss to combine. Add cooled bulgur mixture; toss well to combine. Cover and chill.