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Finding the Third Proportional to 273,620 and 587,983

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Solution

The third proportional to 273,620 and 587,983 is: 1,263,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,620 : 587,983 = 587,983 : x
  2. Step 2: Convert to fraction form
    273,620/587,983 = 587,983/x
  3. Step 3: Cross multiply
    273,620x = 587,983 × 587,983
  4. Step 4: Simplify right side
    273,620x = 345,724,008,289
  5. Step 5: Solve for x
    x = 345,724,008,289/273,620
  6. Step 6: Final answer
    x = 1,263,518.78

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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.