To organize the steps for constructing a parallel line to a given line through a point not on the line, follow this correct order:
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Step: A horizontal line with arrows at both ends is drawn. Two points, upper P and upper Q, are marked toward either end of the line. A point upper R is marked above the line and between points upper P and upper Q.
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Step: A horizontal line with arrows at both ends is drawn. Two points, upper P and upper Q, are marked toward either end of the line. A left-to-right slanted line intersects the horizontal line at point upper J between upper P and upper Q. Two arcs are drawn.
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Step: The straight edge of a ruler is drawn intersecting line upper P upper Q with a left-to-right slant.
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Step: Two parallel horizontal lines are drawn extending indefinitely in both directions. Two points upper P and upper Q are plotted some distance apart on the bottommost line. A line segment intersects both horizontal lines.
This ordering reflects the logical progression needed to construct a parallel line accurately based on the provided instructions.