Finding the Third Proportional to 596 and 1,160
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Solution
The third proportional to 596 and 1,160 is: 2,257.72
Step by Step Solution
- Step 1: Write the proportion equation
596 : 1,160 = 1,160 : x - Step 2: Convert to fraction form
596/1,160 = 1,160/x - Step 3: Cross multiply
596x = 1,160 × 1,160 - Step 4: Simplify right side
596x = 1,345,600 - Step 5: Solve for x
x = 1,345,600/596 - Step 6: Final answer
x = 2,257.72
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.