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Finding the Third Proportional to 492,729.75 and 646,997.63

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Solution

The third proportional to 492,729.75 and 646,997.63 is: 849,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,729.75 : 646,997.63 = 646,997.63 : x
  2. Step 2: Convert to fraction form
    492,729.75/646,997.63 = 646,997.63/x
  3. Step 3: Cross multiply
    492,729.75x = 646,997.63 × 646,997.63
  4. Step 4: Simplify right side
    492,729.75x = 418,605,926,755.64
  5. Step 5: Solve for x
    x = 418,605,926,755.64/492,729.75
  6. Step 6: Final answer
    x = 849,564.95

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