Finding the Third Proportional to 496 and 511
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Solution
The third proportional to 496 and 511 is: 526.45
Step by Step Solution
- Step 1: Write the proportion equation
496 : 511 = 511 : x - Step 2: Convert to fraction form
496/511 = 511/x - Step 3: Cross multiply
496x = 511 × 511 - Step 4: Simplify right side
496x = 261,121 - Step 5: Solve for x
x = 261,121/496 - Step 6: Final answer
x = 526.45
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Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.