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Finding the Third Proportional to 281,812 and 582,254

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Solution

The third proportional to 281,812 and 582,254 is: 1,202,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,812 : 582,254 = 582,254 : x
  2. Step 2: Convert to fraction form
    281,812/582,254 = 582,254/x
  3. Step 3: Cross multiply
    281,812x = 582,254 × 582,254
  4. Step 4: Simplify right side
    281,812x = 339,019,720,516
  5. Step 5: Solve for x
    x = 339,019,720,516/281,812
  6. Step 6: Final answer
    x = 1,202,999.59

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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.