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Finding the Third Proportional to 234,481 and 477,249

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Solution

The third proportional to 234,481 and 477,249 is: 971,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,481 : 477,249 = 477,249 : x
  2. Step 2: Convert to fraction form
    234,481/477,249 = 477,249/x
  3. Step 3: Cross multiply
    234,481x = 477,249 × 477,249
  4. Step 4: Simplify right side
    234,481x = 227,766,608,001
  5. Step 5: Solve for x
    x = 227,766,608,001/234,481
  6. Step 6: Final answer
    x = 971,364.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.