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Finding the Third Proportional to 509,338.50 and 689,271.75

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Solution

The third proportional to 509,338.50 and 689,271.75 is: 932,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,338.50 : 689,271.75 = 689,271.75 : x
  2. Step 2: Convert to fraction form
    509,338.50/689,271.75 = 689,271.75/x
  3. Step 3: Cross multiply
    509,338.50x = 689,271.75 × 689,271.75
  4. Step 4: Simplify right side
    509,338.50x = 475,095,545,348.06
  5. Step 5: Solve for x
    x = 475,095,545,348.06/509,338.50
  6. Step 6: Final answer
    x = 932,769.75

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