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Finding the Third Proportional to 207,231 and 443,865

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Solution

The third proportional to 207,231 and 443,865 is: 950,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,231 : 443,865 = 443,865 : x
  2. Step 2: Convert to fraction form
    207,231/443,865 = 443,865/x
  3. Step 3: Cross multiply
    207,231x = 443,865 × 443,865
  4. Step 4: Simplify right side
    207,231x = 197,016,138,225
  5. Step 5: Solve for x
    x = 197,016,138,225/207,231
  6. Step 6: Final answer
    x = 950,707.85

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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.