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Finding the Third Proportional to 271,200 and 419,922

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Solution

The third proportional to 271,200 and 419,922 is: 650,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,200 : 419,922 = 419,922 : x
  2. Step 2: Convert to fraction form
    271,200/419,922 = 419,922/x
  3. Step 3: Cross multiply
    271,200x = 419,922 × 419,922
  4. Step 4: Simplify right side
    271,200x = 176,334,486,084
  5. Step 5: Solve for x
    x = 176,334,486,084/271,200
  6. Step 6: Final answer
    x = 650,200.91

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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.