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Finding the Third Proportional to 269,799 and 582,822

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Solution

The third proportional to 269,799 and 582,822 is: 1,259,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,799 : 582,822 = 582,822 : x
  2. Step 2: Convert to fraction form
    269,799/582,822 = 582,822/x
  3. Step 3: Cross multiply
    269,799x = 582,822 × 582,822
  4. Step 4: Simplify right side
    269,799x = 339,681,483,684
  5. Step 5: Solve for x
    x = 339,681,483,684/269,799
  6. Step 6: Final answer
    x = 1,259,016.84

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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.