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Finding the Third Proportional to 327,796 and 494,692

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Solution

The third proportional to 327,796 and 494,692 is: 746,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,796 : 494,692 = 494,692 : x
  2. Step 2: Convert to fraction form
    327,796/494,692 = 494,692/x
  3. Step 3: Cross multiply
    327,796x = 494,692 × 494,692
  4. Step 4: Simplify right side
    327,796x = 244,720,174,864
  5. Step 5: Solve for x
    x = 244,720,174,864/327,796
  6. Step 6: Final answer
    x = 746,562.42

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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.