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Finding the Third Proportional to 393,911.44 and 864,413.44

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Solution

The third proportional to 393,911.44 and 864,413.44 is: 1,896,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,911.44 : 864,413.44 = 864,413.44 : x
  2. Step 2: Convert to fraction form
    393,911.44/864,413.44 = 864,413.44/x
  3. Step 3: Cross multiply
    393,911.44x = 864,413.44 × 864,413.44
  4. Step 4: Simplify right side
    393,911.44x = 747,210,590,930.57
  5. Step 5: Solve for x
    x = 747,210,590,930.57/393,911.44
  6. Step 6: Final answer
    x = 1,896,899.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.