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Finding the Third Proportional to 273,379 and 591,686

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Solution

The third proportional to 273,379 and 591,686 is: 1,280,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,379 : 591,686 = 591,686 : x
  2. Step 2: Convert to fraction form
    273,379/591,686 = 591,686/x
  3. Step 3: Cross multiply
    273,379x = 591,686 × 591,686
  4. Step 4: Simplify right side
    273,379x = 350,092,322,596
  5. Step 5: Solve for x
    x = 350,092,322,596/273,379
  6. Step 6: Final answer
    x = 1,280,611.61

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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.