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Finding the Third Proportional to 204,291 and 436,374

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Solution

The third proportional to 204,291 and 436,374 is: 932,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,291 : 436,374 = 436,374 : x
  2. Step 2: Convert to fraction form
    204,291/436,374 = 436,374/x
  3. Step 3: Cross multiply
    204,291x = 436,374 × 436,374
  4. Step 4: Simplify right side
    204,291x = 190,422,267,876
  5. Step 5: Solve for x
    x = 190,422,267,876/204,291
  6. Step 6: Final answer
    x = 932,112.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.