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Finding the Third Proportional to 269,799 and 582,825

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Solution

The third proportional to 269,799 and 582,825 is: 1,259,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,799 : 582,825 = 582,825 : x
  2. Step 2: Convert to fraction form
    269,799/582,825 = 582,825/x
  3. Step 3: Cross multiply
    269,799x = 582,825 × 582,825
  4. Step 4: Simplify right side
    269,799x = 339,684,980,625
  5. Step 5: Solve for x
    x = 339,684,980,625/269,799
  6. Step 6: Final answer
    x = 1,259,029.80

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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.