Finding the Third Proportional to 296 and 586
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Solution
The third proportional to 296 and 586 is: 1,160.12
Step by Step Solution
- Step 1: Write the proportion equation
296 : 586 = 586 : x - Step 2: Convert to fraction form
296/586 = 586/x - Step 3: Cross multiply
296x = 586 × 586 - Step 4: Simplify right side
296x = 343,396 - Step 5: Solve for x
x = 343,396/296 - Step 6: Final answer
x = 1,160.12
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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.