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Finding the Third Proportional to 332,461.50 and 731,342.50

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Solution

The third proportional to 332,461.50 and 731,342.50 is: 1,608,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,461.50 : 731,342.50 = 731,342.50 : x
  2. Step 2: Convert to fraction form
    332,461.50/731,342.50 = 731,342.50/x
  3. Step 3: Cross multiply
    332,461.50x = 731,342.50 × 731,342.50
  4. Step 4: Simplify right side
    332,461.50x = 534,861,852,306.25
  5. Step 5: Solve for x
    x = 534,861,852,306.25/332,461.50
  6. Step 6: Final answer
    x = 1,608,793.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.