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Finding the Third Proportional to 332,325 and 724,802

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Solution

The third proportional to 332,325 and 724,802 is: 1,580,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,325 : 724,802 = 724,802 : x
  2. Step 2: Convert to fraction form
    332,325/724,802 = 724,802/x
  3. Step 3: Cross multiply
    332,325x = 724,802 × 724,802
  4. Step 4: Simplify right side
    332,325x = 525,337,939,204
  5. Step 5: Solve for x
    x = 525,337,939,204/332,325
  6. Step 6: Final answer
    x = 1,580,795.72

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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.