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Finding the Third Proportional to 271,942.31 and 587,123.44

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Solution

The third proportional to 271,942.31 and 587,123.44 is: 1,267,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,942.31 : 587,123.44 = 587,123.44 : x
  2. Step 2: Convert to fraction form
    271,942.31/587,123.44 = 587,123.44/x
  3. Step 3: Cross multiply
    271,942.31x = 587,123.44 × 587,123.44
  4. Step 4: Simplify right side
    271,942.31x = 344,713,930,861.82
  5. Step 5: Solve for x
    x = 344,713,930,861.82/271,942.31
  6. Step 6: Final answer
    x = 1,267,599.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.