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Finding the Third Proportional to 234,904 and 516,464

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Solution

The third proportional to 234,904 and 516,464 is: 1,135,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,904 : 516,464 = 516,464 : x
  2. Step 2: Convert to fraction form
    234,904/516,464 = 516,464/x
  3. Step 3: Cross multiply
    234,904x = 516,464 × 516,464
  4. Step 4: Simplify right side
    234,904x = 266,735,063,296
  5. Step 5: Solve for x
    x = 266,735,063,296/234,904
  6. Step 6: Final answer
    x = 1,135,506.69

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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.