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Finding the Third Proportional to 269,199 and 582,984

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Solution

The third proportional to 269,199 and 582,984 is: 1,262,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,199 : 582,984 = 582,984 : x
  2. Step 2: Convert to fraction form
    269,199/582,984 = 582,984/x
  3. Step 3: Cross multiply
    269,199x = 582,984 × 582,984
  4. Step 4: Simplify right side
    269,199x = 339,870,344,256
  5. Step 5: Solve for x
    x = 339,870,344,256/269,199
  6. Step 6: Final answer
    x = 1,262,524.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.