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Finding the Third Proportional to 279,648 and 605,952

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Solution

The third proportional to 279,648 and 605,952 is: 1,313,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,648 : 605,952 = 605,952 : x
  2. Step 2: Convert to fraction form
    279,648/605,952 = 605,952/x
  3. Step 3: Cross multiply
    279,648x = 605,952 × 605,952
  4. Step 4: Simplify right side
    279,648x = 367,177,826,304
  5. Step 5: Solve for x
    x = 367,177,826,304/279,648
  6. Step 6: Final answer
    x = 1,313,000.01

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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.