Finding the Third Proportional to 343 and 588
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Solution
The third proportional to 343 and 588 is: 1,008
Step by Step Solution
- Step 1: Write the proportion equation
343 : 588 = 588 : x - Step 2: Convert to fraction form
343/588 = 588/x - Step 3: Cross multiply
343x = 588 × 588 - Step 4: Simplify right side
343x = 345,744 - Step 5: Solve for x
x = 345,744/343 - Step 6: Final answer
x = 1,008
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Why These Related Problems?
These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.