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Finding the Third Proportional to 322,474 and 451,027

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Solution

The third proportional to 322,474 and 451,027 is: 630,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,474 : 451,027 = 451,027 : x
  2. Step 2: Convert to fraction form
    322,474/451,027 = 451,027/x
  3. Step 3: Cross multiply
    322,474x = 451,027 × 451,027
  4. Step 4: Simplify right side
    322,474x = 203,425,354,729
  5. Step 5: Solve for x
    x = 203,425,354,729/322,474
  6. Step 6: Final answer
    x = 630,827.15

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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.