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Finding the Third Proportional to 271,832 and 419,868

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Solution

The third proportional to 271,832 and 419,868 is: 648,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,832 : 419,868 = 419,868 : x
  2. Step 2: Convert to fraction form
    271,832/419,868 = 419,868/x
  3. Step 3: Cross multiply
    271,832x = 419,868 × 419,868
  4. Step 4: Simplify right side
    271,832x = 176,289,137,424
  5. Step 5: Solve for x
    x = 176,289,137,424/271,832
  6. Step 6: Final answer
    x = 648,522.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.