Finding the Third Proportional to 361 and 589
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Solution
The third proportional to 361 and 589 is: 961
Step by Step Solution
- Step 1: Write the proportion equation
361 : 589 = 589 : x - Step 2: Convert to fraction form
361/589 = 589/x - Step 3: Cross multiply
361x = 589 × 589 - Step 4: Simplify right side
361x = 346,921 - Step 5: Solve for x
x = 346,921/361 - Step 6: Final answer
x = 961
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Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.