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Finding the Third Proportional to 332,344.27 and 724,839.57

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Solution

The third proportional to 332,344.27 and 724,839.57 is: 1,580,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,344.27 : 724,839.57 = 724,839.57 : x
  2. Step 2: Convert to fraction form
    332,344.27/724,839.57 = 724,839.57/x
  3. Step 3: Cross multiply
    332,344.27x = 724,839.57 × 724,839.57
  4. Step 4: Simplify right side
    332,344.27x = 525,392,408,353.62
  5. Step 5: Solve for x
    x = 525,392,408,353.62/332,344.27
  6. Step 6: Final answer
    x = 1,580,867.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.