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Finding the Third Proportional to 271,771 and 449,171

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Solution

The third proportional to 271,771 and 449,171 is: 742,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,771 : 449,171 = 449,171 : x
  2. Step 2: Convert to fraction form
    271,771/449,171 = 449,171/x
  3. Step 3: Cross multiply
    271,771x = 449,171 × 449,171
  4. Step 4: Simplify right side
    271,771x = 201,754,587,241
  5. Step 5: Solve for x
    x = 201,754,587,241/271,771
  6. Step 6: Final answer
    x = 742,369.82

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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.