Finding the Third Proportional to 297 and 648
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Solution
The third proportional to 297 and 648 is: 1,413.82
Step by Step Solution
- Step 1: Write the proportion equation
297 : 648 = 648 : x - Step 2: Convert to fraction form
297/648 = 648/x - Step 3: Cross multiply
297x = 648 × 648 - Step 4: Simplify right side
297x = 419,904 - Step 5: Solve for x
x = 419,904/297 - Step 6: Final answer
x = 1,413.82
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.