Finding the Third Proportional to 540 and 597
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Solution
The third proportional to 540 and 597 is: 660.02
Step by Step Solution
- Step 1: Write the proportion equation
540 : 597 = 597 : x - Step 2: Convert to fraction form
540/597 = 597/x - Step 3: Cross multiply
540x = 597 × 597 - Step 4: Simplify right side
540x = 356,409 - Step 5: Solve for x
x = 356,409/540 - Step 6: Final answer
x = 660.02
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.