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Finding the Third Proportional to 328,494 and 363,054

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Solution

The third proportional to 328,494 and 363,054 is: 401,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,494 : 363,054 = 363,054 : x
  2. Step 2: Convert to fraction form
    328,494/363,054 = 363,054/x
  3. Step 3: Cross multiply
    328,494x = 363,054 × 363,054
  4. Step 4: Simplify right side
    328,494x = 131,808,206,916
  5. Step 5: Solve for x
    x = 131,808,206,916/328,494
  6. Step 6: Final answer
    x = 401,249.97

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.