"continuing on from" is correct and commonly used in written English.
You can use it to indicate that a thought or action is a continuation of something that has already happened or been said. For example: Continuing on from our previous discussion about the budget, I'd like to discuss our marketing efforts.
The two episodes were billed as, respectively, Lindsey's story and Rob's story, yet this apparently highfalutin device turned out to be no more than slight change of emphasis, with episode two continuing on from the previous evening, with Lindsey and her home life ceding to Rob's.
Stumping in Goffstown, N.H., on Wednesday, the Texas senator told reporters that his staff simply "passed on a CNN news story that CNN broke". "The news story said that Ben Carson was not continuing on from Iowa to New Hampshire; he was not continuing to South Carolina," Cruz said.
Continuing on from previous years, entrepreneurs on the list also made use of digital payment systems to empower the unbanked in Southeast Asia.
Thursday's event, titled "American Leadership in Emerging Technology," is the second big piece of the White House's Technology Week, continuing on from Tuesday's discussion about modernizing government technology.
When listening to a melody, we hear each note giving way to its successor; when we hear a sustained violin tone, we hear the tone continuing on, from moment to moment.
In the business as usual scenario, production and consumption are assumed to remain at high levels, continuing on from current trends: economic growth is set at 2.2 %; decarbonisation of the electricity grid and recycling trends are assumed to reach their environmental targets.
The show continues on from there, with the fourth star of the show (which shines just as bright as the others) being the theme of love.
From the very beginning of my endurance career, the motivation that I had to continue on came from the support that I received from those around me.
"Continue on," Mr. Edwards shouted at supporters from the stage, his voice sounding hoarse.
