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The phrase "a practical breakthrough for" is correct and usable in written English.
It can be used when discussing a significant advancement or innovation that has practical applications in a specific field or context.
Example: "The new technology represents a practical breakthrough for renewable energy solutions."
Alternatives: "a significant advancement for" or "a major innovation for".
Exact(1)
In spite of the development of highly efficient and sensitive tools for its detection, ranging from advanced chromatography to biosensor-based techniques, a practical breakthrough for routine cork screening purposes has not yet been realized, in part due to the requirement of a lengthy extraction of TCA in organic solvents, mostly 12% ethanol and the high detectability required.
Similar(59)
A 16 qubit quantum computer has smaller processing power than a cell phone and hardly represents a practical breakthrough.
A conceptual and practical breakthrough occurred in the late 1980s when Grätzel and coworkers started using high-surface-area semiconductors for DSSCs [16, 60 63].
Two wins in a row is a breakthrough for me".
There is a practical reason for this.
There is a practical explanation for that.
A practical guide for making preserves.
A breakthrough for an indie game isn't unprecedented.
That's a huge breakthrough for England.
A big breakthrough for BBC telly.
It's a big breakthrough for him.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com