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Finding the Third Proportional to 283,976 and 582,496

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Solution

The third proportional to 283,976 and 582,496 is: 1,194,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,976 : 582,496 = 582,496 : x
  2. Step 2: Convert to fraction form
    283,976/582,496 = 582,496/x
  3. Step 3: Cross multiply
    283,976x = 582,496 × 582,496
  4. Step 4: Simplify right side
    283,976x = 339,301,590,016
  5. Step 5: Solve for x
    x = 339,301,590,016/283,976
  6. Step 6: Final answer
    x = 1,194,824.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.