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Finding the Third Proportional to 183,462 and 396,876

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Solution

The third proportional to 183,462 and 396,876 is: 858,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,462 : 396,876 = 396,876 : x
  2. Step 2: Convert to fraction form
    183,462/396,876 = 396,876/x
  3. Step 3: Cross multiply
    183,462x = 396,876 × 396,876
  4. Step 4: Simplify right side
    183,462x = 157,510,559,376
  5. Step 5: Solve for x
    x = 157,510,559,376/183,462
  6. Step 6: Final answer
    x = 858,545.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.