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Finding the Third Proportional to 276,814,406 and 389,320,941

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Solution

The third proportional to 276,814,406 and 389,320,941 is: 547,553,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,814,406 : 389,320,941 = 389,320,941 : x
  2. Step 2: Convert to fraction form
    276,814,406/389,320,941 = 389,320,941/x
  3. Step 3: Cross multiply
    276,814,406x = 389,320,941 × 389,320,941
  4. Step 4: Simplify right side
    276,814,406x = 151,570,795,101,125,472
  5. Step 5: Solve for x
    x = 151,570,795,101,125,472/276,814,406
  6. Step 6: Final answer
    x = 547,553,854.91

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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.