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Finding the Third Proportional to 328,413.75 and 707,472.75

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Solution

The third proportional to 328,413.75 and 707,472.75 is: 1,524,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,413.75 : 707,472.75 = 707,472.75 : x
  2. Step 2: Convert to fraction form
    328,413.75/707,472.75 = 707,472.75/x
  3. Step 3: Cross multiply
    328,413.75x = 707,472.75 × 707,472.75
  4. Step 4: Simplify right side
    328,413.75x = 500,517,691,992.56
  5. Step 5: Solve for x
    x = 500,517,691,992.56/328,413.75
  6. Step 6: Final answer
    x = 1,524,046.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.