Finding the Third Proportional to 682 and 1,496
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Solution
The third proportional to 682 and 1,496 is: 3,281.55
Step by Step Solution
- Step 1: Write the proportion equation
682 : 1,496 = 1,496 : x - Step 2: Convert to fraction form
682/1,496 = 1,496/x - Step 3: Cross multiply
682x = 1,496 × 1,496 - Step 4: Simplify right side
682x = 2,238,016 - Step 5: Solve for x
x = 2,238,016/682 - Step 6: Final answer
x = 3,281.55
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.