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Finding the Third Proportional to 327,812 and 494,732

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Solution

The third proportional to 327,812 and 494,732 is: 746,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,812 : 494,732 = 494,732 : x
  2. Step 2: Convert to fraction form
    327,812/494,732 = 494,732/x
  3. Step 3: Cross multiply
    327,812x = 494,732 × 494,732
  4. Step 4: Simplify right side
    327,812x = 244,759,751,824
  5. Step 5: Solve for x
    x = 244,759,751,824/327,812
  6. Step 6: Final answer
    x = 746,646.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.