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Finding the Third Proportional to 508,104.56 and 748,122.75

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Solution

The third proportional to 508,104.56 and 748,122.75 is: 1,101,520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,104.56 : 748,122.75 = 748,122.75 : x
  2. Step 2: Convert to fraction form
    508,104.56/748,122.75 = 748,122.75/x
  3. Step 3: Cross multiply
    508,104.56x = 748,122.75 × 748,122.75
  4. Step 4: Simplify right side
    508,104.56x = 559,687,649,067.56
  5. Step 5: Solve for x
    x = 559,687,649,067.56/508,104.56
  6. Step 6: Final answer
    x = 1,101,520.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.