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Finding the Third Proportional to 332,578 and 731,616

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Solution

The third proportional to 332,578 and 731,616 is: 1,609,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,578 : 731,616 = 731,616 : x
  2. Step 2: Convert to fraction form
    332,578/731,616 = 731,616/x
  3. Step 3: Cross multiply
    332,578x = 731,616 × 731,616
  4. Step 4: Simplify right side
    332,578x = 535,261,971,456
  5. Step 5: Solve for x
    x = 535,261,971,456/332,578
  6. Step 6: Final answer
    x = 1,609,432.89

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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.