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Finding the Third Proportional to 332,427 and 451,984.50

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Solution

The third proportional to 332,427 and 451,984.50 is: 614,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,427 : 451,984.50 = 451,984.50 : x
  2. Step 2: Convert to fraction form
    332,427/451,984.50 = 451,984.50/x
  3. Step 3: Cross multiply
    332,427x = 451,984.50 × 451,984.50
  4. Step 4: Simplify right side
    332,427x = 204,289,988,240.25
  5. Step 5: Solve for x
    x = 204,289,988,240.25/332,427
  6. Step 6: Final answer
    x = 614,540.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.