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Finding the Third Proportional to 202,872 and 447,216

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Solution

The third proportional to 202,872 and 447,216 is: 985,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,872 : 447,216 = 447,216 : x
  2. Step 2: Convert to fraction form
    202,872/447,216 = 447,216/x
  3. Step 3: Cross multiply
    202,872x = 447,216 × 447,216
  4. Step 4: Simplify right side
    202,872x = 200,002,150,656
  5. Step 5: Solve for x
    x = 200,002,150,656/202,872
  6. Step 6: Final answer
    x = 985,853.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.