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Finding the Third Proportional to 204,251 and 447,259

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Solution

The third proportional to 204,251 and 447,259 is: 979,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,251 : 447,259 = 447,259 : x
  2. Step 2: Convert to fraction form
    204,251/447,259 = 447,259/x
  3. Step 3: Cross multiply
    204,251x = 447,259 × 447,259
  4. Step 4: Simplify right side
    204,251x = 200,040,613,081
  5. Step 5: Solve for x
    x = 200,040,613,081/204,251
  6. Step 6: Final answer
    x = 979,386.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.