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Finding the Third Proportional to 311,954 and 495,876

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Solution

The third proportional to 311,954 and 495,876 is: 788,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,954 : 495,876 = 495,876 : x
  2. Step 2: Convert to fraction form
    311,954/495,876 = 495,876/x
  3. Step 3: Cross multiply
    311,954x = 495,876 × 495,876
  4. Step 4: Simplify right side
    311,954x = 245,893,007,376
  5. Step 5: Solve for x
    x = 245,893,007,376/311,954
  6. Step 6: Final answer
    x = 788,234.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.