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Finding the Third Proportional to 316,614 and 445,872

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Solution

The third proportional to 316,614 and 445,872 is: 627,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,614 : 445,872 = 445,872 : x
  2. Step 2: Convert to fraction form
    316,614/445,872 = 445,872/x
  3. Step 3: Cross multiply
    316,614x = 445,872 × 445,872
  4. Step 4: Simplify right side
    316,614x = 198,801,840,384
  5. Step 5: Solve for x
    x = 198,801,840,384/316,614
  6. Step 6: Final answer
    x = 627,899.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.