Finding the Third Proportional to 414 and 576
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Solution
The third proportional to 414 and 576 is: 801.39
Step by Step Solution
- Step 1: Write the proportion equation
414 : 576 = 576 : x - Step 2: Convert to fraction form
414/576 = 576/x - Step 3: Cross multiply
414x = 576 × 576 - Step 4: Simplify right side
414x = 331,776 - Step 5: Solve for x
x = 331,776/414 - Step 6: Final answer
x = 801.39
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.