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Finding the Third Proportional to 207,314 and 444,110

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Solution

The third proportional to 207,314 and 444,110 is: 951,376.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,314 : 444,110 = 444,110 : x
  2. Step 2: Convert to fraction form
    207,314/444,110 = 444,110/x
  3. Step 3: Cross multiply
    207,314x = 444,110 × 444,110
  4. Step 4: Simplify right side
    207,314x = 197,233,692,100
  5. Step 5: Solve for x
    x = 197,233,692,100/207,314
  6. Step 6: Final answer
    x = 951,376.62

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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.