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Finding the Third Proportional to 204,331 and 403,422

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Solution

The third proportional to 204,331 and 403,422 is: 796,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,331 : 403,422 = 403,422 : x
  2. Step 2: Convert to fraction form
    204,331/403,422 = 403,422/x
  3. Step 3: Cross multiply
    204,331x = 403,422 × 403,422
  4. Step 4: Simplify right side
    204,331x = 162,749,310,084
  5. Step 5: Solve for x
    x = 162,749,310,084/204,331
  6. Step 6: Final answer
    x = 796,498.38

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.