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Finding the Third Proportional to 257,946.75 and 417,876.75

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Solution

The third proportional to 257,946.75 and 417,876.75 is: 676,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,946.75 : 417,876.75 = 417,876.75 : x
  2. Step 2: Convert to fraction form
    257,946.75/417,876.75 = 417,876.75/x
  3. Step 3: Cross multiply
    257,946.75x = 417,876.75 × 417,876.75
  4. Step 4: Simplify right side
    257,946.75x = 174,620,978,190.56
  5. Step 5: Solve for x
    x = 174,620,978,190.56/257,946.75
  6. Step 6: Final answer
    x = 676,965.22

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