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Finding the Third Proportional to 276,908 and 414,901

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Solution

The third proportional to 276,908 and 414,901 is: 621,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,908 : 414,901 = 414,901 : x
  2. Step 2: Convert to fraction form
    276,908/414,901 = 414,901/x
  3. Step 3: Cross multiply
    276,908x = 414,901 × 414,901
  4. Step 4: Simplify right side
    276,908x = 172,142,839,801
  5. Step 5: Solve for x
    x = 172,142,839,801/276,908
  6. Step 6: Final answer
    x = 621,660.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.