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Finding the Third Proportional to 204,652 and 419,446

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Solution

The third proportional to 204,652 and 419,446 is: 859,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,652 : 419,446 = 419,446 : x
  2. Step 2: Convert to fraction form
    204,652/419,446 = 419,446/x
  3. Step 3: Cross multiply
    204,652x = 419,446 × 419,446
  4. Step 4: Simplify right side
    204,652x = 175,934,946,916
  5. Step 5: Solve for x
    x = 175,934,946,916/204,652
  6. Step 6: Final answer
    x = 859,678.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.