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Finding the Third Proportional to 276,760,764 and 389,298,864

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Solution

The third proportional to 276,760,764 and 389,298,864 is: 547,597,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,760,764 : 389,298,864 = 389,298,864 : x
  2. Step 2: Convert to fraction form
    276,760,764/389,298,864 = 389,298,864/x
  3. Step 3: Cross multiply
    276,760,764x = 389,298,864 × 389,298,864
  4. Step 4: Simplify right side
    276,760,764x = 151,553,605,511,690,496
  5. Step 5: Solve for x
    x = 151,553,605,511,690,496/276,760,764
  6. Step 6: Final answer
    x = 547,597,872.33

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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.