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Finding the Third Proportional to 327,888 and 491,832

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Solution

The third proportional to 327,888 and 491,832 is: 737,748

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,888 : 491,832 = 491,832 : x
  2. Step 2: Convert to fraction form
    327,888/491,832 = 491,832/x
  3. Step 3: Cross multiply
    327,888x = 491,832 × 491,832
  4. Step 4: Simplify right side
    327,888x = 241,898,716,224
  5. Step 5: Solve for x
    x = 241,898,716,224/327,888
  6. Step 6: Final answer
    x = 737,748

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.