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Finding the Third Proportional to 414,805.75 and 871,326.50

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Solution

The third proportional to 414,805.75 and 871,326.50 is: 1,830,278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,805.75 : 871,326.50 = 871,326.50 : x
  2. Step 2: Convert to fraction form
    414,805.75/871,326.50 = 871,326.50/x
  3. Step 3: Cross multiply
    414,805.75x = 871,326.50 × 871,326.50
  4. Step 4: Simplify right side
    414,805.75x = 759,209,869,602.25
  5. Step 5: Solve for x
    x = 759,209,869,602.25/414,805.75
  6. Step 6: Final answer
    x = 1,830,278.07

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