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Finding the Third Proportional to 201,474 and 426,876

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Solution

The third proportional to 201,474 and 426,876 is: 904,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,474 : 426,876 = 426,876 : x
  2. Step 2: Convert to fraction form
    201,474/426,876 = 426,876/x
  3. Step 3: Cross multiply
    201,474x = 426,876 × 426,876
  4. Step 4: Simplify right side
    201,474x = 182,223,119,376
  5. Step 5: Solve for x
    x = 182,223,119,376/201,474
  6. Step 6: Final answer
    x = 904,449.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.