Finding the Third Proportional to 414 and 482
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Solution
The third proportional to 414 and 482 is: 561.17
Step by Step Solution
- Step 1: Write the proportion equation
414 : 482 = 482 : x - Step 2: Convert to fraction form
414/482 = 482/x - Step 3: Cross multiply
414x = 482 × 482 - Step 4: Simplify right side
414x = 232,324 - Step 5: Solve for x
x = 232,324/414 - Step 6: Final answer
x = 561.17
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Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.