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Finding the Third Proportional to 199,540 and 443,366

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Solution

The third proportional to 199,540 and 443,366 is: 985,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,540 : 443,366 = 443,366 : x
  2. Step 2: Convert to fraction form
    199,540/443,366 = 443,366/x
  3. Step 3: Cross multiply
    199,540x = 443,366 × 443,366
  4. Step 4: Simplify right side
    199,540x = 196,573,409,956
  5. Step 5: Solve for x
    x = 196,573,409,956/199,540
  6. Step 6: Final answer
    x = 985,132.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.