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Finding the Third Proportional to 327,848 and 494,782

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Solution

The third proportional to 327,848 and 494,782 is: 746,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,848 : 494,782 = 494,782 : x
  2. Step 2: Convert to fraction form
    327,848/494,782 = 494,782/x
  3. Step 3: Cross multiply
    327,848x = 494,782 × 494,782
  4. Step 4: Simplify right side
    327,848x = 244,809,227,524
  5. Step 5: Solve for x
    x = 244,809,227,524/327,848
  6. Step 6: Final answer
    x = 746,715.64

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Why These Related Problems?

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