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Finding the Third Proportional to 204,328 and 403,416

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Solution

The third proportional to 204,328 and 403,416 is: 796,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,328 : 403,416 = 403,416 : x
  2. Step 2: Convert to fraction form
    204,328/403,416 = 403,416/x
  3. Step 3: Cross multiply
    204,328x = 403,416 × 403,416
  4. Step 4: Simplify right side
    204,328x = 162,744,469,056
  5. Step 5: Solve for x
    x = 162,744,469,056/204,328
  6. Step 6: Final answer
    x = 796,486.38

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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.