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Finding the Third Proportional to 502,002.56 and 764,769.09

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Solution

The third proportional to 502,002.56 and 764,769.09 is: 1,165,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,002.56 : 764,769.09 = 764,769.09 : x
  2. Step 2: Convert to fraction form
    502,002.56/764,769.09 = 764,769.09/x
  3. Step 3: Cross multiply
    502,002.56x = 764,769.09 × 764,769.09
  4. Step 4: Simplify right side
    502,002.56x = 584,871,766,755.20
  5. Step 5: Solve for x
    x = 584,871,766,755.20/502,002.56
  6. Step 6: Final answer
    x = 1,165,077.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.