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Finding the Third Proportional to 207,241 and 443,885

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Solution

The third proportional to 207,241 and 443,885 is: 950,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,241 : 443,885 = 443,885 : x
  2. Step 2: Convert to fraction form
    207,241/443,885 = 443,885/x
  3. Step 3: Cross multiply
    207,241x = 443,885 × 443,885
  4. Step 4: Simplify right side
    207,241x = 197,033,893,225
  5. Step 5: Solve for x
    x = 197,033,893,225/207,241
  6. Step 6: Final answer
    x = 950,747.65

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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.