Finding the Third Proportional to 508 and 762
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Solution
The third proportional to 508 and 762 is: 1,143
Step by Step Solution
- Step 1: Write the proportion equation
508 : 762 = 762 : x - Step 2: Convert to fraction form
508/762 = 762/x - Step 3: Cross multiply
508x = 762 × 762 - Step 4: Simplify right side
508x = 580,644 - Step 5: Solve for x
x = 580,644/508 - Step 6: Final answer
x = 1,143
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.