Finding the Third Proportional to 696 and 1,320
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Solution
The third proportional to 696 and 1,320 is: 2,503.45
Step by Step Solution
- Step 1: Write the proportion equation
696 : 1,320 = 1,320 : x - Step 2: Convert to fraction form
696/1,320 = 1,320/x - Step 3: Cross multiply
696x = 1,320 × 1,320 - Step 4: Simplify right side
696x = 1,742,400 - Step 5: Solve for x
x = 1,742,400/696 - Step 6: Final answer
x = 2,503.45
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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.