Finding the Third Proportional to 284 and 532
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Solution
The third proportional to 284 and 532 is: 996.56
Step by Step Solution
- Step 1: Write the proportion equation
284 : 532 = 532 : x - Step 2: Convert to fraction form
284/532 = 532/x - Step 3: Cross multiply
284x = 532 × 532 - Step 4: Simplify right side
284x = 283,024 - Step 5: Solve for x
x = 283,024/284 - Step 6: Final answer
x = 996.56
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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.