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Finding the Third Proportional to 327,288 and 500,448

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Solution

The third proportional to 327,288 and 500,448 is: 765,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,288 : 500,448 = 500,448 : x
  2. Step 2: Convert to fraction form
    327,288/500,448 = 500,448/x
  3. Step 3: Cross multiply
    327,288x = 500,448 × 500,448
  4. Step 4: Simplify right side
    327,288x = 250,448,200,704
  5. Step 5: Solve for x
    x = 250,448,200,704/327,288
  6. Step 6: Final answer
    x = 765,222.68

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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.