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Finding the Third Proportional to 203,576 and 444,867

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Solution

The third proportional to 203,576 and 444,867 is: 972,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,576 : 444,867 = 444,867 : x
  2. Step 2: Convert to fraction form
    203,576/444,867 = 444,867/x
  3. Step 3: Cross multiply
    203,576x = 444,867 × 444,867
  4. Step 4: Simplify right side
    203,576x = 197,906,647,689
  5. Step 5: Solve for x
    x = 197,906,647,689/203,576
  6. Step 6: Final answer
    x = 972,151.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.