Finding the Third Proportional to 232 and 582
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Solution
The third proportional to 232 and 582 is: 1,460.02
Step by Step Solution
- Step 1: Write the proportion equation
232 : 582 = 582 : x - Step 2: Convert to fraction form
232/582 = 582/x - Step 3: Cross multiply
232x = 582 × 582 - Step 4: Simplify right side
232x = 338,724 - Step 5: Solve for x
x = 338,724/232 - Step 6: Final answer
x = 1,460.02
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These problems maintain the same ratio (2.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.