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Finding the Third Proportional to 234,906 and 516,468

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Solution

The third proportional to 234,906 and 516,468 is: 1,135,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,906 : 516,468 = 516,468 : x
  2. Step 2: Convert to fraction form
    234,906/516,468 = 516,468/x
  3. Step 3: Cross multiply
    234,906x = 516,468 × 516,468
  4. Step 4: Simplify right side
    234,906x = 266,739,195,024
  5. Step 5: Solve for x
    x = 266,739,195,024/234,906
  6. Step 6: Final answer
    x = 1,135,514.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.