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Finding the Third Proportional to 327,890 and 491,835

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Solution

The third proportional to 327,890 and 491,835 is: 737,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,890 : 491,835 = 491,835 : x
  2. Step 2: Convert to fraction form
    327,890/491,835 = 491,835/x
  3. Step 3: Cross multiply
    327,890x = 491,835 × 491,835
  4. Step 4: Simplify right side
    327,890x = 241,901,667,225
  5. Step 5: Solve for x
    x = 241,901,667,225/327,890
  6. Step 6: Final answer
    x = 737,752.50

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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.