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Finding the Third Proportional to 328,530 and 363,090

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Solution

The third proportional to 328,530 and 363,090 is: 401,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,530 : 363,090 = 363,090 : x
  2. Step 2: Convert to fraction form
    328,530/363,090 = 363,090/x
  3. Step 3: Cross multiply
    328,530x = 363,090 × 363,090
  4. Step 4: Simplify right side
    328,530x = 131,834,348,100
  5. Step 5: Solve for x
    x = 131,834,348,100/328,530
  6. Step 6: Final answer
    x = 401,285.57

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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.