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Finding the Third Proportional to 207,866 and 444,163

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Solution

The third proportional to 207,866 and 444,163 is: 949,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,866 : 444,163 = 444,163 : x
  2. Step 2: Convert to fraction form
    207,866/444,163 = 444,163/x
  3. Step 3: Cross multiply
    207,866x = 444,163 × 444,163
  4. Step 4: Simplify right side
    207,866x = 197,280,770,569
  5. Step 5: Solve for x
    x = 197,280,770,569/207,866
  6. Step 6: Final answer
    x = 949,076.67

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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.