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Finding the Third Proportional to 259,739.25 and 414,930.75

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Solution

The third proportional to 259,739.25 and 414,930.75 is: 662,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,739.25 : 414,930.75 = 414,930.75 : x
  2. Step 2: Convert to fraction form
    259,739.25/414,930.75 = 414,930.75/x
  3. Step 3: Cross multiply
    259,739.25x = 414,930.75 × 414,930.75
  4. Step 4: Simplify right side
    259,739.25x = 172,167,527,295.56
  5. Step 5: Solve for x
    x = 172,167,527,295.56/259,739.25
  6. Step 6: Final answer
    x = 662,847.56

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