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Finding the Third Proportional to 247,767.75 and 541,041.75

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Solution

The third proportional to 247,767.75 and 541,041.75 is: 1,181,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,767.75 : 541,041.75 = 541,041.75 : x
  2. Step 2: Convert to fraction form
    247,767.75/541,041.75 = 541,041.75/x
  3. Step 3: Cross multiply
    247,767.75x = 541,041.75 × 541,041.75
  4. Step 4: Simplify right side
    247,767.75x = 292,726,175,243.06
  5. Step 5: Solve for x
    x = 292,726,175,243.06/247,767.75
  6. Step 6: Final answer
    x = 1,181,453.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.