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Finding the Third Proportional to 271,787 and 449,193

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Solution

The third proportional to 271,787 and 449,193 is: 742,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,787 : 449,193 = 449,193 : x
  2. Step 2: Convert to fraction form
    271,787/449,193 = 449,193/x
  3. Step 3: Cross multiply
    271,787x = 449,193 × 449,193
  4. Step 4: Simplify right side
    271,787x = 201,774,351,249
  5. Step 5: Solve for x
    x = 201,774,351,249/271,787
  6. Step 6: Final answer
    x = 742,398.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.