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Finding the Third Proportional to 327,784 and 500,424

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Solution

The third proportional to 327,784 and 500,424 is: 763,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,784 : 500,424 = 500,424 : x
  2. Step 2: Convert to fraction form
    327,784/500,424 = 500,424/x
  3. Step 3: Cross multiply
    327,784x = 500,424 × 500,424
  4. Step 4: Simplify right side
    327,784x = 250,424,179,776
  5. Step 5: Solve for x
    x = 250,424,179,776/327,784
  6. Step 6: Final answer
    x = 763,991.47

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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.