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Finding the Third Proportional to 276,814,404 and 389,320,938

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Solution

The third proportional to 276,814,404 and 389,320,938 is: 547,553,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,814,404 : 389,320,938 = 389,320,938 : x
  2. Step 2: Convert to fraction form
    276,814,404/389,320,938 = 389,320,938/x
  3. Step 3: Cross multiply
    276,814,404x = 389,320,938 × 389,320,938
  4. Step 4: Simplify right side
    276,814,404x = 151,570,792,765,199,840
  5. Step 5: Solve for x
    x = 151,570,792,765,199,840/276,814,404
  6. Step 6: Final answer
    x = 547,553,850.43

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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.