Finding the Third Proportional to 382 and 586
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Solution
The third proportional to 382 and 586 is: 898.94
Step by Step Solution
- Step 1: Write the proportion equation
382 : 586 = 586 : x - Step 2: Convert to fraction form
382/586 = 586/x - Step 3: Cross multiply
382x = 586 × 586 - Step 4: Simplify right side
382x = 343,396 - Step 5: Solve for x
x = 343,396/382 - Step 6: Final answer
x = 898.94
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.