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Finding the Third Proportional to 271,561.50 and 411,716.25

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Solution

The third proportional to 271,561.50 and 411,716.25 is: 624,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,561.50 : 411,716.25 = 411,716.25 : x
  2. Step 2: Convert to fraction form
    271,561.50/411,716.25 = 411,716.25/x
  3. Step 3: Cross multiply
    271,561.50x = 411,716.25 × 411,716.25
  4. Step 4: Simplify right side
    271,561.50x = 169,510,270,514.06
  5. Step 5: Solve for x
    x = 169,510,270,514.06/271,561.50
  6. Step 6: Final answer
    x = 624,205.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.