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Finding the Third Proportional to 311,436 and 481,166

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Solution

The third proportional to 311,436 and 481,166 is: 743,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,436 : 481,166 = 481,166 : x
  2. Step 2: Convert to fraction form
    311,436/481,166 = 481,166/x
  3. Step 3: Cross multiply
    311,436x = 481,166 × 481,166
  4. Step 4: Simplify right side
    311,436x = 231,520,719,556
  5. Step 5: Solve for x
    x = 231,520,719,556/311,436
  6. Step 6: Final answer
    x = 743,397.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.