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Finding the Third Proportional to 512,248.13 and 751,764.75

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Solution

The third proportional to 512,248.13 and 751,764.75 is: 1,103,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,248.13 : 751,764.75 = 751,764.75 : x
  2. Step 2: Convert to fraction form
    512,248.13/751,764.75 = 751,764.75/x
  3. Step 3: Cross multiply
    512,248.13x = 751,764.75 × 751,764.75
  4. Step 4: Simplify right side
    512,248.13x = 565,150,239,342.56
  5. Step 5: Solve for x
    x = 565,150,239,342.56/512,248.13
  6. Step 6: Final answer
    x = 1,103,274.39

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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.