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Finding the Third Proportional to 271,104 and 419,400

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Solution

The third proportional to 271,104 and 419,400 is: 648,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,104 : 419,400 = 419,400 : x
  2. Step 2: Convert to fraction form
    271,104/419,400 = 419,400/x
  3. Step 3: Cross multiply
    271,104x = 419,400 × 419,400
  4. Step 4: Simplify right side
    271,104x = 175,896,360,000
  5. Step 5: Solve for x
    x = 175,896,360,000/271,104
  6. Step 6: Final answer
    x = 648,815.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.