A city data report shows that 1/3 of the parks in that area have a flagpole. If the city decides to install more flagpoles in another 1/3 of the parks, what is the total fractional portion of parks that have flagpoles?

Since 1/3 of the parks already have flagpoles, and another 1/3 of the parks will have flagpoles installed, the total fractional portion of parks with flagpoles will be 1/3 + 1/3 = <<1/3+1/3=2/3>>2/3. Answer: \boxed{\frac{2}{3}}.