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Finding the Third Proportional to 337,866 and 534,951

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Solution

The third proportional to 337,866 and 534,951 is: 847,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,866 : 534,951 = 534,951 : x
  2. Step 2: Convert to fraction form
    337,866/534,951 = 534,951/x
  3. Step 3: Cross multiply
    337,866x = 534,951 × 534,951
  4. Step 4: Simplify right side
    337,866x = 286,172,572,401
  5. Step 5: Solve for x
    x = 286,172,572,401/337,866
  6. Step 6: Final answer
    x = 847,000.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.