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Finding the Third Proportional to 492,978 and 704,475

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Solution

The third proportional to 492,978 and 704,475 is: 1,006,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,978 : 704,475 = 704,475 : x
  2. Step 2: Convert to fraction form
    492,978/704,475 = 704,475/x
  3. Step 3: Cross multiply
    492,978x = 704,475 × 704,475
  4. Step 4: Simplify right side
    492,978x = 496,285,025,625
  5. Step 5: Solve for x
    x = 496,285,025,625/492,978
  6. Step 6: Final answer
    x = 1,006,708.26

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