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Finding the Third Proportional to 509,323.50 and 775,050.75

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Solution

The third proportional to 509,323.50 and 775,050.75 is: 1,179,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,323.50 : 775,050.75 = 775,050.75 : x
  2. Step 2: Convert to fraction form
    509,323.50/775,050.75 = 775,050.75/x
  3. Step 3: Cross multiply
    509,323.50x = 775,050.75 × 775,050.75
  4. Step 4: Simplify right side
    509,323.50x = 600,703,665,075.56
  5. Step 5: Solve for x
    x = 600,703,665,075.56/509,323.50
  6. Step 6: Final answer
    x = 1,179,414.78

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