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Finding the Third Proportional to 317,198 and 467,035

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Solution

The third proportional to 317,198 and 467,035 is: 687,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,198 : 467,035 = 467,035 : x
  2. Step 2: Convert to fraction form
    317,198/467,035 = 467,035/x
  3. Step 3: Cross multiply
    317,198x = 467,035 × 467,035
  4. Step 4: Simplify right side
    317,198x = 218,121,691,225
  5. Step 5: Solve for x
    x = 218,121,691,225/317,198
  6. Step 6: Final answer
    x = 687,651.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.