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Finding the Third Proportional to 276,828 and 596,867

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Solution

The third proportional to 276,828 and 596,867 is: 1,286,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,828 : 596,867 = 596,867 : x
  2. Step 2: Convert to fraction form
    276,828/596,867 = 596,867/x
  3. Step 3: Cross multiply
    276,828x = 596,867 × 596,867
  4. Step 4: Simplify right side
    276,828x = 356,250,215,689
  5. Step 5: Solve for x
    x = 356,250,215,689/276,828
  6. Step 6: Final answer
    x = 1,286,900.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.