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Finding the Third Proportional to 384,978 and 599,225

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Solution

The third proportional to 384,978 and 599,225 is: 932,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,978 : 599,225 = 599,225 : x
  2. Step 2: Convert to fraction form
    384,978/599,225 = 599,225/x
  3. Step 3: Cross multiply
    384,978x = 599,225 × 599,225
  4. Step 4: Simplify right side
    384,978x = 359,070,600,625
  5. Step 5: Solve for x
    x = 359,070,600,625/384,978
  6. Step 6: Final answer
    x = 932,704.21

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