Finding the Third Proportional to 284 and 650
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Solution
The third proportional to 284 and 650 is: 1,487.68
Step by Step Solution
- Step 1: Write the proportion equation
284 : 650 = 650 : x - Step 2: Convert to fraction form
284/650 = 650/x - Step 3: Cross multiply
284x = 650 × 650 - Step 4: Simplify right side
284x = 422,500 - Step 5: Solve for x
x = 422,500/284 - Step 6: Final answer
x = 1,487.68
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Why These Related Problems?
These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.