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Finding the Third Proportional to 204,844 and 447,206

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Solution

The third proportional to 204,844 and 447,206 is: 976,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,844 : 447,206 = 447,206 : x
  2. Step 2: Convert to fraction form
    204,844/447,206 = 447,206/x
  3. Step 3: Cross multiply
    204,844x = 447,206 × 447,206
  4. Step 4: Simplify right side
    204,844x = 199,993,206,436
  5. Step 5: Solve for x
    x = 199,993,206,436/204,844
  6. Step 6: Final answer
    x = 976,319.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.