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Finding the Third Proportional to 207,110 and 443,716

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Solution

The third proportional to 207,110 and 443,716 is: 950,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,110 : 443,716 = 443,716 : x
  2. Step 2: Convert to fraction form
    207,110/443,716 = 443,716/x
  3. Step 3: Cross multiply
    207,110x = 443,716 × 443,716
  4. Step 4: Simplify right side
    207,110x = 196,883,888,656
  5. Step 5: Solve for x
    x = 196,883,888,656/207,110
  6. Step 6: Final answer
    x = 950,624.73

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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.