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Finding the Third Proportional to 274,671 and 560,439

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Solution

The third proportional to 274,671 and 560,439 is: 1,143,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,671 : 560,439 = 560,439 : x
  2. Step 2: Convert to fraction form
    274,671/560,439 = 560,439/x
  3. Step 3: Cross multiply
    274,671x = 560,439 × 560,439
  4. Step 4: Simplify right side
    274,671x = 314,091,872,721
  5. Step 5: Solve for x
    x = 314,091,872,721/274,671
  6. Step 6: Final answer
    x = 1,143,520.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.