Answer:
about $2269
Explanation:
If we assume the aspect ratio of the two screens is the same, then the area is proportional to the square of the diagonal dimension.
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The diagonal dimension of the larger HDTV is 65/32 ≈ 2.0313 times that of the smaller one. So, the price is expected to be ...
$550 × 2.0313² ≈ $2269.29
You expect the 65" HDTV to cost about $2269.