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Finding the Third Proportional to 414,163.13 and 484,078.78

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Solution

The third proportional to 414,163.13 and 484,078.78 is: 565,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,163.13 : 484,078.78 = 484,078.78 : x
  2. Step 2: Convert to fraction form
    414,163.13/484,078.78 = 484,078.78/x
  3. Step 3: Cross multiply
    414,163.13x = 484,078.78 × 484,078.78
  4. Step 4: Simplify right side
    414,163.13x = 234,332,266,456.49
  5. Step 5: Solve for x
    x = 234,332,266,456.49/414,163.13
  6. Step 6: Final answer
    x = 565,797.03

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.