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Finding the Third Proportional to 332,464 and 731,348

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Solution

The third proportional to 332,464 and 731,348 is: 1,608,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,464 : 731,348 = 731,348 : x
  2. Step 2: Convert to fraction form
    332,464/731,348 = 731,348/x
  3. Step 3: Cross multiply
    332,464x = 731,348 × 731,348
  4. Step 4: Simplify right side
    332,464x = 534,869,897,104
  5. Step 5: Solve for x
    x = 534,869,897,104/332,464
  6. Step 6: Final answer
    x = 1,608,805.46

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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.