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Finding the Third Proportional to 229,982 and 502,714

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Solution

The third proportional to 229,982 and 502,714 is: 1,098,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,982 : 502,714 = 502,714 : x
  2. Step 2: Convert to fraction form
    229,982/502,714 = 502,714/x
  3. Step 3: Cross multiply
    229,982x = 502,714 × 502,714
  4. Step 4: Simplify right side
    229,982x = 252,721,365,796
  5. Step 5: Solve for x
    x = 252,721,365,796/229,982
  6. Step 6: Final answer
    x = 1,098,874.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.