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Finding the Third Proportional to 276,879 and 605,002

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Solution

The third proportional to 276,879 and 605,002 is: 1,321,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,879 : 605,002 = 605,002 : x
  2. Step 2: Convert to fraction form
    276,879/605,002 = 605,002/x
  3. Step 3: Cross multiply
    276,879x = 605,002 × 605,002
  4. Step 4: Simplify right side
    276,879x = 366,027,420,004
  5. Step 5: Solve for x
    x = 366,027,420,004/276,879
  6. Step 6: Final answer
    x = 1,321,976.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.