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Finding the Third Proportional to 269,796 and 582,819

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Solution

The third proportional to 269,796 and 582,819 is: 1,259,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,796 : 582,819 = 582,819 : x
  2. Step 2: Convert to fraction form
    269,796/582,819 = 582,819/x
  3. Step 3: Cross multiply
    269,796x = 582,819 × 582,819
  4. Step 4: Simplify right side
    269,796x = 339,677,986,761
  5. Step 5: Solve for x
    x = 339,677,986,761/269,796
  6. Step 6: Final answer
    x = 1,259,017.88

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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.