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Finding the Third Proportional to 279,650 and 605,956

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Solution

The third proportional to 279,650 and 605,956 is: 1,313,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,650 : 605,956 = 605,956 : x
  2. Step 2: Convert to fraction form
    279,650/605,956 = 605,956/x
  3. Step 3: Cross multiply
    279,650x = 605,956 × 605,956
  4. Step 4: Simplify right side
    279,650x = 367,182,673,936
  5. Step 5: Solve for x
    x = 367,182,673,936/279,650
  6. Step 6: Final answer
    x = 1,313,007.95

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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.