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Finding the Third Proportional to 281,799 and 582,228

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Solution

The third proportional to 281,799 and 582,228 is: 1,202,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,799 : 582,228 = 582,228 : x
  2. Step 2: Convert to fraction form
    281,799/582,228 = 582,228/x
  3. Step 3: Cross multiply
    281,799x = 582,228 × 582,228
  4. Step 4: Simplify right side
    281,799x = 338,989,443,984
  5. Step 5: Solve for x
    x = 338,989,443,984/281,799
  6. Step 6: Final answer
    x = 1,202,947.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.