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Finding the Third Proportional to 327,754 and 500,379

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Solution

The third proportional to 327,754 and 500,379 is: 763,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,754 : 500,379 = 500,379 : x
  2. Step 2: Convert to fraction form
    327,754/500,379 = 500,379/x
  3. Step 3: Cross multiply
    327,754x = 500,379 × 500,379
  4. Step 4: Simplify right side
    327,754x = 250,379,143,641
  5. Step 5: Solve for x
    x = 250,379,143,641/327,754
  6. Step 6: Final answer
    x = 763,923.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.