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Finding the Third Proportional to 337,684 and 534,714

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Solution

The third proportional to 337,684 and 534,714 is: 846,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,684 : 534,714 = 534,714 : x
  2. Step 2: Convert to fraction form
    337,684/534,714 = 534,714/x
  3. Step 3: Cross multiply
    337,684x = 534,714 × 534,714
  4. Step 4: Simplify right side
    337,684x = 285,919,061,796
  5. Step 5: Solve for x
    x = 285,919,061,796/337,684
  6. Step 6: Final answer
    x = 846,705.98

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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.