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Finding the Third Proportional to 337,748 and 527,070

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Solution

The third proportional to 337,748 and 527,070 is: 822,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,748 : 527,070 = 527,070 : x
  2. Step 2: Convert to fraction form
    337,748/527,070 = 527,070/x
  3. Step 3: Cross multiply
    337,748x = 527,070 × 527,070
  4. Step 4: Simplify right side
    337,748x = 277,802,784,900
  5. Step 5: Solve for x
    x = 277,802,784,900/337,748
  6. Step 6: Final answer
    x = 822,514.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.