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Finding the Third Proportional to 279,651 and 605,958

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Solution

The third proportional to 279,651 and 605,958 is: 1,313,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,651 : 605,958 = 605,958 : x
  2. Step 2: Convert to fraction form
    279,651/605,958 = 605,958/x
  3. Step 3: Cross multiply
    279,651x = 605,958 × 605,958
  4. Step 4: Simplify right side
    279,651x = 367,185,097,764
  5. Step 5: Solve for x
    x = 367,185,097,764/279,651
  6. Step 6: Final answer
    x = 1,313,011.92

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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.