Finding the Third Proportional to 416 and 824
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Solution
The third proportional to 416 and 824 is: 1,632.15
Step by Step Solution
- Step 1: Write the proportion equation
416 : 824 = 824 : x - Step 2: Convert to fraction form
416/824 = 824/x - Step 3: Cross multiply
416x = 824 × 824 - Step 4: Simplify right side
416x = 678,976 - Step 5: Solve for x
x = 678,976/416 - Step 6: Final answer
x = 1,632.15
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Why These Related Problems?
These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.