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Finding the Third Proportional to 203,922 and 442,876

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Solution

The third proportional to 203,922 and 442,876 is: 961,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,922 : 442,876 = 442,876 : x
  2. Step 2: Convert to fraction form
    203,922/442,876 = 442,876/x
  3. Step 3: Cross multiply
    203,922x = 442,876 × 442,876
  4. Step 4: Simplify right side
    203,922x = 196,139,151,376
  5. Step 5: Solve for x
    x = 196,139,151,376/203,922
  6. Step 6: Final answer
    x = 961,834.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.