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Finding the Third Proportional to 276,870 and 595,860

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Solution

The third proportional to 276,870 and 595,860 is: 1,282,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,870 : 595,860 = 595,860 : x
  2. Step 2: Convert to fraction form
    276,870/595,860 = 595,860/x
  3. Step 3: Cross multiply
    276,870x = 595,860 × 595,860
  4. Step 4: Simplify right side
    276,870x = 355,049,139,600
  5. Step 5: Solve for x
    x = 355,049,139,600/276,870
  6. Step 6: Final answer
    x = 1,282,367.68

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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.