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Finding the Third Proportional to 234,809 and 499,981

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Solution

The third proportional to 234,809 and 499,981 is: 1,064,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,809 : 499,981 = 499,981 : x
  2. Step 2: Convert to fraction form
    234,809/499,981 = 499,981/x
  3. Step 3: Cross multiply
    234,809x = 499,981 × 499,981
  4. Step 4: Simplify right side
    234,809x = 249,981,000,361
  5. Step 5: Solve for x
    x = 249,981,000,361/234,809
  6. Step 6: Final answer
    x = 1,064,614.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.