Finding the Third Proportional to 496 and 541
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Solution
The third proportional to 496 and 541 is: 590.08
Step by Step Solution
- Step 1: Write the proportion equation
496 : 541 = 541 : x - Step 2: Convert to fraction form
496/541 = 541/x - Step 3: Cross multiply
496x = 541 × 541 - Step 4: Simplify right side
496x = 292,681 - Step 5: Solve for x
x = 292,681/496 - Step 6: Final answer
x = 590.08
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.