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Finding the Third Proportional to 207,252 and 443,907

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Solution

The third proportional to 207,252 and 443,907 is: 950,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,252 : 443,907 = 443,907 : x
  2. Step 2: Convert to fraction form
    207,252/443,907 = 443,907/x
  3. Step 3: Cross multiply
    207,252x = 443,907 × 443,907
  4. Step 4: Simplify right side
    207,252x = 197,053,424,649
  5. Step 5: Solve for x
    x = 197,053,424,649/207,252
  6. Step 6: Final answer
    x = 950,791.43

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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.