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Finding the Third Proportional to 337,754 and 517,863

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Solution

The third proportional to 337,754 and 517,863 is: 794,016.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,754 : 517,863 = 517,863 : x
  2. Step 2: Convert to fraction form
    337,754/517,863 = 517,863/x
  3. Step 3: Cross multiply
    337,754x = 517,863 × 517,863
  4. Step 4: Simplify right side
    337,754x = 268,182,086,769
  5. Step 5: Solve for x
    x = 268,182,086,769/337,754
  6. Step 6: Final answer
    x = 794,016.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.