Finding the Third Proportional to 284 and 590.50
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Solution
The third proportional to 284 and 590.50 is: 1,227.78
Step by Step Solution
- Step 1: Write the proportion equation
284 : 590.50 = 590.50 : x - Step 2: Convert to fraction form
284/590.50 = 590.50/x - Step 3: Cross multiply
284x = 590.50 × 590.50 - Step 4: Simplify right side
284x = 348,690.25 - Step 5: Solve for x
x = 348,690.25/284 - Step 6: Final answer
x = 1,227.78
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.