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Finding the Third Proportional to 353,532 and 763,542

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Solution

The third proportional to 353,532 and 763,542 is: 1,649,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,532 : 763,542 = 763,542 : x
  2. Step 2: Convert to fraction form
    353,532/763,542 = 763,542/x
  3. Step 3: Cross multiply
    353,532x = 763,542 × 763,542
  4. Step 4: Simplify right side
    353,532x = 582,996,385,764
  5. Step 5: Solve for x
    x = 582,996,385,764/353,532
  6. Step 6: Final answer
    x = 1,649,062.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.