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Finding the Third Proportional to 497,666 and 755,715

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Solution

The third proportional to 497,666 and 755,715 is: 1,147,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,666 : 755,715 = 755,715 : x
  2. Step 2: Convert to fraction form
    497,666/755,715 = 755,715/x
  3. Step 3: Cross multiply
    497,666x = 755,715 × 755,715
  4. Step 4: Simplify right side
    497,666x = 571,105,161,225
  5. Step 5: Solve for x
    x = 571,105,161,225/497,666
  6. Step 6: Final answer
    x = 1,147,567.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.