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Finding the Third Proportional to 332,597 and 731,628

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Solution

The third proportional to 332,597 and 731,628 is: 1,609,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,597 : 731,628 = 731,628 : x
  2. Step 2: Convert to fraction form
    332,597/731,628 = 731,628/x
  3. Step 3: Cross multiply
    332,597x = 731,628 × 731,628
  4. Step 4: Simplify right side
    332,597x = 535,279,530,384
  5. Step 5: Solve for x
    x = 535,279,530,384/332,597
  6. Step 6: Final answer
    x = 1,609,393.74

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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.