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Finding the Third Proportional to 303,797.25 and 654,338.25

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Solution

The third proportional to 303,797.25 and 654,338.25 is: 1,409,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,797.25 : 654,338.25 = 654,338.25 : x
  2. Step 2: Convert to fraction form
    303,797.25/654,338.25 = 654,338.25/x
  3. Step 3: Cross multiply
    303,797.25x = 654,338.25 × 654,338.25
  4. Step 4: Simplify right side
    303,797.25x = 428,158,545,413.06
  5. Step 5: Solve for x
    x = 428,158,545,413.06/303,797.25
  6. Step 6: Final answer
    x = 1,409,356.22

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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.