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Finding the Third Proportional to 279,512 and 442,812

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Solution

The third proportional to 279,512 and 442,812 is: 701,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,512 : 442,812 = 442,812 : x
  2. Step 2: Convert to fraction form
    279,512/442,812 = 442,812/x
  3. Step 3: Cross multiply
    279,512x = 442,812 × 442,812
  4. Step 4: Simplify right side
    279,512x = 196,082,467,344
  5. Step 5: Solve for x
    x = 196,082,467,344/279,512
  6. Step 6: Final answer
    x = 701,517.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.