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Finding the Third Proportional to 273,702 and 587,860

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Solution

The third proportional to 273,702 and 587,860 is: 1,262,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,702 : 587,860 = 587,860 : x
  2. Step 2: Convert to fraction form
    273,702/587,860 = 587,860/x
  3. Step 3: Cross multiply
    273,702x = 587,860 × 587,860
  4. Step 4: Simplify right side
    273,702x = 345,579,379,600
  5. Step 5: Solve for x
    x = 345,579,379,600/273,702
  6. Step 6: Final answer
    x = 1,262,611.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.