Finding the Third Proportional to 284 and 674
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Solution
The third proportional to 284 and 674 is: 1,599.56
Step by Step Solution
- Step 1: Write the proportion equation
284 : 674 = 674 : x - Step 2: Convert to fraction form
284/674 = 674/x - Step 3: Cross multiply
284x = 674 × 674 - Step 4: Simplify right side
284x = 454,276 - Step 5: Solve for x
x = 454,276/284 - Step 6: Final answer
x = 1,599.56
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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.