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Finding the Third Proportional to 328,193 and 491,742

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Solution

The third proportional to 328,193 and 491,742 is: 736,792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,193 : 491,742 = 491,742 : x
  2. Step 2: Convert to fraction form
    328,193/491,742 = 491,742/x
  3. Step 3: Cross multiply
    328,193x = 491,742 × 491,742
  4. Step 4: Simplify right side
    328,193x = 241,810,194,564
  5. Step 5: Solve for x
    x = 241,810,194,564/328,193
  6. Step 6: Final answer
    x = 736,792.66

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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.