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Finding the Third Proportional to 331,170 and 737,286

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Solution

The third proportional to 331,170 and 737,286 is: 1,641,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,170 : 737,286 = 737,286 : x
  2. Step 2: Convert to fraction form
    331,170/737,286 = 737,286/x
  3. Step 3: Cross multiply
    331,170x = 737,286 × 737,286
  4. Step 4: Simplify right side
    331,170x = 543,590,645,796
  5. Step 5: Solve for x
    x = 543,590,645,796/331,170
  6. Step 6: Final answer
    x = 1,641,424.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.