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Finding the Third Proportional to 372,944.25 and 814,201.88

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Solution

The third proportional to 372,944.25 and 814,201.88 is: 1,777,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,944.25 : 814,201.88 = 814,201.88 : x
  2. Step 2: Convert to fraction form
    372,944.25/814,201.88 = 814,201.88/x
  3. Step 3: Cross multiply
    372,944.25x = 814,201.88 × 814,201.88
  4. Step 4: Simplify right side
    372,944.25x = 662,924,693,253.52
  5. Step 5: Solve for x
    x = 662,924,693,253.52/372,944.25
  6. Step 6: Final answer
    x = 1,777,543.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.