Finding the Third Proportional to 496 and 675
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Solution
The third proportional to 496 and 675 is: 918.60
Step by Step Solution
- Step 1: Write the proportion equation
496 : 675 = 675 : x - Step 2: Convert to fraction form
496/675 = 675/x - Step 3: Cross multiply
496x = 675 × 675 - Step 4: Simplify right side
496x = 455,625 - Step 5: Solve for x
x = 455,625/496 - Step 6: Final answer
x = 918.60
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.