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Finding the Third Proportional to 511,943.50 and 689,177.50

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Solution

The third proportional to 511,943.50 and 689,177.50 is: 927,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,943.50 : 689,177.50 = 689,177.50 : x
  2. Step 2: Convert to fraction form
    511,943.50/689,177.50 = 689,177.50/x
  3. Step 3: Cross multiply
    511,943.50x = 689,177.50 × 689,177.50
  4. Step 4: Simplify right side
    511,943.50x = 474,965,626,506.25
  5. Step 5: Solve for x
    x = 474,965,626,506.25/511,943.50
  6. Step 6: Final answer
    x = 927,769.62

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