Finding the Third Proportional to 232 and 588
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Solution
The third proportional to 232 and 588 is: 1,490.28
Step by Step Solution
- Step 1: Write the proportion equation
232 : 588 = 588 : x - Step 2: Convert to fraction form
232/588 = 588/x - Step 3: Cross multiply
232x = 588 × 588 - Step 4: Simplify right side
232x = 345,744 - Step 5: Solve for x
x = 345,744/232 - Step 6: Final answer
x = 1,490.28
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These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.