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Finding the Third Proportional to 332,461 and 731,342

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Solution

The third proportional to 332,461 and 731,342 is: 1,608,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,461 : 731,342 = 731,342 : x
  2. Step 2: Convert to fraction form
    332,461/731,342 = 731,342/x
  3. Step 3: Cross multiply
    332,461x = 731,342 × 731,342
  4. Step 4: Simplify right side
    332,461x = 534,861,120,964
  5. Step 5: Solve for x
    x = 534,861,120,964/332,461
  6. Step 6: Final answer
    x = 1,608,793.58

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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.