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Finding the Third Proportional to 333,978 and 517,203

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Solution

The third proportional to 333,978 and 517,203 is: 800,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,978 : 517,203 = 517,203 : x
  2. Step 2: Convert to fraction form
    333,978/517,203 = 517,203/x
  3. Step 3: Cross multiply
    333,978x = 517,203 × 517,203
  4. Step 4: Simplify right side
    333,978x = 267,498,943,209
  5. Step 5: Solve for x
    x = 267,498,943,209/333,978
  6. Step 6: Final answer
    x = 800,947.80

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