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Finding the Third Proportional to 386,601.19 and 830,413.69

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Solution

The third proportional to 386,601.19 and 830,413.69 is: 1,783,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,601.19 : 830,413.69 = 830,413.69 : x
  2. Step 2: Convert to fraction form
    386,601.19/830,413.69 = 830,413.69/x
  3. Step 3: Cross multiply
    386,601.19x = 830,413.69 × 830,413.69
  4. Step 4: Simplify right side
    386,601.19x = 689,586,892,387.35
  5. Step 5: Solve for x
    x = 689,586,892,387.35/386,601.19
  6. Step 6: Final answer
    x = 1,783,716.44

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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.