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Finding the Third Proportional to 322,539 and 451,125

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Solution

The third proportional to 322,539 and 451,125 is: 630,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,539 : 451,125 = 451,125 : x
  2. Step 2: Convert to fraction form
    322,539/451,125 = 451,125/x
  3. Step 3: Cross multiply
    322,539x = 451,125 × 451,125
  4. Step 4: Simplify right side
    322,539x = 203,513,765,625
  5. Step 5: Solve for x
    x = 203,513,765,625/322,539
  6. Step 6: Final answer
    x = 630,974.13

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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.