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Finding the Third Proportional to 332,462 and 731,344

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Solution

The third proportional to 332,462 and 731,344 is: 1,608,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,462 : 731,344 = 731,344 : x
  2. Step 2: Convert to fraction form
    332,462/731,344 = 731,344/x
  3. Step 3: Cross multiply
    332,462x = 731,344 × 731,344
  4. Step 4: Simplify right side
    332,462x = 534,864,046,336
  5. Step 5: Solve for x
    x = 534,864,046,336/332,462
  6. Step 6: Final answer
    x = 1,608,797.54

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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.