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Finding the Third Proportional to 276,261 and 389,941

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Solution

The third proportional to 276,261 and 389,941 is: 550,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,261 : 389,941 = 389,941 : x
  2. Step 2: Convert to fraction form
    276,261/389,941 = 389,941/x
  3. Step 3: Cross multiply
    276,261x = 389,941 × 389,941
  4. Step 4: Simplify right side
    276,261x = 152,053,983,481
  5. Step 5: Solve for x
    x = 152,053,983,481/276,261
  6. Step 6: Final answer
    x = 550,399.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.