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Finding the Third Proportional to 199,538 and 443,361

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Solution

The third proportional to 199,538 and 443,361 is: 985,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,538 : 443,361 = 443,361 : x
  2. Step 2: Convert to fraction form
    199,538/443,361 = 443,361/x
  3. Step 3: Cross multiply
    199,538x = 443,361 × 443,361
  4. Step 4: Simplify right side
    199,538x = 196,568,976,321
  5. Step 5: Solve for x
    x = 196,568,976,321/199,538
  6. Step 6: Final answer
    x = 985,120.51

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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.