Finding the Third Proportional to 524 and 582
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Solution
The third proportional to 524 and 582 is: 646.42
Step by Step Solution
- Step 1: Write the proportion equation
524 : 582 = 582 : x - Step 2: Convert to fraction form
524/582 = 582/x - Step 3: Cross multiply
524x = 582 × 582 - Step 4: Simplify right side
524x = 338,724 - Step 5: Solve for x
x = 338,724/524 - Step 6: Final answer
x = 646.42
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.