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Finding the Third Proportional to 276,999 and 595,378

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Solution

The third proportional to 276,999 and 595,378 is: 1,279,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,999 : 595,378 = 595,378 : x
  2. Step 2: Convert to fraction form
    276,999/595,378 = 595,378/x
  3. Step 3: Cross multiply
    276,999x = 595,378 × 595,378
  4. Step 4: Simplify right side
    276,999x = 354,474,962,884
  5. Step 5: Solve for x
    x = 354,474,962,884/276,999
  6. Step 6: Final answer
    x = 1,279,697.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.