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Finding the Third Proportional to 205,250 and 447,652

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Solution

The third proportional to 205,250 and 447,652 is: 976,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,250 : 447,652 = 447,652 : x
  2. Step 2: Convert to fraction form
    205,250/447,652 = 447,652/x
  3. Step 3: Cross multiply
    205,250x = 447,652 × 447,652
  4. Step 4: Simplify right side
    205,250x = 200,392,313,104
  5. Step 5: Solve for x
    x = 200,392,313,104/205,250
  6. Step 6: Final answer
    x = 976,332.83

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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.