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Finding the Third Proportional to 208,251 and 446,634

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Solution

The third proportional to 208,251 and 446,634 is: 957,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,251 : 446,634 = 446,634 : x
  2. Step 2: Convert to fraction form
    208,251/446,634 = 446,634/x
  3. Step 3: Cross multiply
    208,251x = 446,634 × 446,634
  4. Step 4: Simplify right side
    208,251x = 199,481,929,956
  5. Step 5: Solve for x
    x = 199,481,929,956/208,251
  6. Step 6: Final answer
    x = 957,891.82

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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.