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Finding the Third Proportional to 207,227 and 443,857

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Solution

The third proportional to 207,227 and 443,857 is: 950,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,227 : 443,857 = 443,857 : x
  2. Step 2: Convert to fraction form
    207,227/443,857 = 443,857/x
  3. Step 3: Cross multiply
    207,227x = 443,857 × 443,857
  4. Step 4: Simplify right side
    207,227x = 197,009,036,449
  5. Step 5: Solve for x
    x = 197,009,036,449/207,227
  6. Step 6: Final answer
    x = 950,691.93

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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.