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Finding the Third Proportional to 322,708 and 451,374

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Solution

The third proportional to 322,708 and 451,374 is: 631,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,708 : 451,374 = 451,374 : x
  2. Step 2: Convert to fraction form
    322,708/451,374 = 451,374/x
  3. Step 3: Cross multiply
    322,708x = 451,374 × 451,374
  4. Step 4: Simplify right side
    322,708x = 203,738,487,876
  5. Step 5: Solve for x
    x = 203,738,487,876/322,708
  6. Step 6: Final answer
    x = 631,340.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.