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Finding the Third Proportional to 269,797 and 582,821

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Solution

The third proportional to 269,797 and 582,821 is: 1,259,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,797 : 582,821 = 582,821 : x
  2. Step 2: Convert to fraction form
    269,797/582,821 = 582,821/x
  3. Step 3: Cross multiply
    269,797x = 582,821 × 582,821
  4. Step 4: Simplify right side
    269,797x = 339,680,318,041
  5. Step 5: Solve for x
    x = 339,680,318,041/269,797
  6. Step 6: Final answer
    x = 1,259,021.85

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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.