Finding the Third Proportional to 542 and 664
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Solution
The third proportional to 542 and 664 is: 813.46
Step by Step Solution
- Step 1: Write the proportion equation
542 : 664 = 664 : x - Step 2: Convert to fraction form
542/664 = 664/x - Step 3: Cross multiply
542x = 664 × 664 - Step 4: Simplify right side
542x = 440,896 - Step 5: Solve for x
x = 440,896/542 - Step 6: Final answer
x = 813.46
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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.