Finding the Third Proportional to 772 and 996
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Solution
The third proportional to 772 and 996 is: 1,284.99
Step by Step Solution
- Step 1: Write the proportion equation
772 : 996 = 996 : x - Step 2: Convert to fraction form
772/996 = 996/x - Step 3: Cross multiply
772x = 996 × 996 - Step 4: Simplify right side
772x = 992,016 - Step 5: Solve for x
x = 992,016/772 - Step 6: Final answer
x = 1,284.99
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Why These Related Problems?
These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.