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The first thing I notice is that the map is tiny, compared to the space allocated to the map (both tabs). The culprits, Alaska and Hawaii. Here is a blog post that I like to reference when I have data points in those two states.
I would probably go with the hex map - Hex-tile maps help eliminate the Alaska effect
The headers and x axis labels are a little redundant. Consider removing the X Axis label for both.
Make the headers more descriptive (if you are telling a story), or less wordy (if you are putting the data out there for someone to find their own insight). Less wordy: "% of Total Departures" or More descriptive: "The top eight airports made up 30% of total all departures in the United States".
Including 3 decimal points on the % is more precision than is needed. Consider going with 6.1% instead of 6.118%. Also, the formatting of the labels on the cancellation chart are not shown as %
This isn't an exhaustive list of feedback, just what I had time to give early Sunday morning before starting my day. Hopefully these ideas will help you think of other ways to improve your story.
Thanks so much for your feedback, it is informative, I updated my visualization as your comments