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Finding the Third Proportional to 276,277 and 412,711

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Solution

The third proportional to 276,277 and 412,711 is: 616,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,277 : 412,711 = 412,711 : x
  2. Step 2: Convert to fraction form
    276,277/412,711 = 412,711/x
  3. Step 3: Cross multiply
    276,277x = 412,711 × 412,711
  4. Step 4: Simplify right side
    276,277x = 170,330,369,521
  5. Step 5: Solve for x
    x = 170,330,369,521/276,277
  6. Step 6: Final answer
    x = 616,520.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.