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Finding the Third Proportional to 349,236 and 751,977

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Solution

The third proportional to 349,236 and 751,977 is: 1,619,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,236 : 751,977 = 751,977 : x
  2. Step 2: Convert to fraction form
    349,236/751,977 = 751,977/x
  3. Step 3: Cross multiply
    349,236x = 751,977 × 751,977
  4. Step 4: Simplify right side
    349,236x = 565,469,408,529
  5. Step 5: Solve for x
    x = 565,469,408,529/349,236
  6. Step 6: Final answer
    x = 1,619,161.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.