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Finding the Third Proportional to 337,531 and 474,715

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Solution

The third proportional to 337,531 and 474,715 is: 667,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,531 : 474,715 = 474,715 : x
  2. Step 2: Convert to fraction form
    337,531/474,715 = 474,715/x
  3. Step 3: Cross multiply
    337,531x = 474,715 × 474,715
  4. Step 4: Simplify right side
    337,531x = 225,354,331,225
  5. Step 5: Solve for x
    x = 225,354,331,225/337,531
  6. Step 6: Final answer
    x = 667,655.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.