Finding the Third Proportional to 507 and 547
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Solution
The third proportional to 507 and 547 is: 590.16
Step by Step Solution
- Step 1: Write the proportion equation
507 : 547 = 547 : x - Step 2: Convert to fraction form
507/547 = 547/x - Step 3: Cross multiply
507x = 547 × 547 - Step 4: Simplify right side
507x = 299,209 - Step 5: Solve for x
x = 299,209/507 - Step 6: Final answer
x = 590.16
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.