Finding the Third Proportional to 582 and 622
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Solution
The third proportional to 582 and 622 is: 664.75
Step by Step Solution
- Step 1: Write the proportion equation
582 : 622 = 622 : x - Step 2: Convert to fraction form
582/622 = 622/x - Step 3: Cross multiply
582x = 622 × 622 - Step 4: Simplify right side
582x = 386,884 - Step 5: Solve for x
x = 386,884/582 - Step 6: Final answer
x = 664.75
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.