Finding the Third Proportional to 226 and 586
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Solution
The third proportional to 226 and 586 is: 1,519.45
Step by Step Solution
- Step 1: Write the proportion equation
226 : 586 = 586 : x - Step 2: Convert to fraction form
226/586 = 586/x - Step 3: Cross multiply
226x = 586 × 586 - Step 4: Simplify right side
226x = 343,396 - Step 5: Solve for x
x = 343,396/226 - Step 6: Final answer
x = 1,519.45
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Why These Related Problems?
These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.