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Finding the Third Proportional to 322,472.25 and 451,023.75

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Solution

The third proportional to 322,472.25 and 451,023.75 is: 630,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,472.25 : 451,023.75 = 451,023.75 : x
  2. Step 2: Convert to fraction form
    322,472.25/451,023.75 = 451,023.75/x
  3. Step 3: Cross multiply
    322,472.25x = 451,023.75 × 451,023.75
  4. Step 4: Simplify right side
    322,472.25x = 203,422,423,064.06
  5. Step 5: Solve for x
    x = 203,422,423,064.06/322,472.25
  6. Step 6: Final answer
    x = 630,821.48

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