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Finding the Third Proportional to 467,592.75 and 728,757

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Solution

The third proportional to 467,592.75 and 728,757 is: 1,135,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,592.75 : 728,757 = 728,757 : x
  2. Step 2: Convert to fraction form
    467,592.75/728,757 = 728,757/x
  3. Step 3: Cross multiply
    467,592.75x = 728,757 × 728,757
  4. Step 4: Simplify right side
    467,592.75x = 531,086,765,049
  5. Step 5: Solve for x
    x = 531,086,765,049/467,592.75
  6. Step 6: Final answer
    x = 1,135,789.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.