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Finding the Third Proportional to 350,198 and 512,876

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Solution

The third proportional to 350,198 and 512,876 is: 751,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,198 : 512,876 = 512,876 : x
  2. Step 2: Convert to fraction form
    350,198/512,876 = 512,876/x
  3. Step 3: Cross multiply
    350,198x = 512,876 × 512,876
  4. Step 4: Simplify right side
    350,198x = 263,041,791,376
  5. Step 5: Solve for x
    x = 263,041,791,376/350,198
  6. Step 6: Final answer
    x = 751,123.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.