Finding the Third Proportional to 284.75 and 635.50
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Solution
The third proportional to 284.75 and 635.50 is: 1,418.30
Step by Step Solution
- Step 1: Write the proportion equation
284.75 : 635.50 = 635.50 : x - Step 2: Convert to fraction form
284.75/635.50 = 635.50/x - Step 3: Cross multiply
284.75x = 635.50 × 635.50 - Step 4: Simplify right side
284.75x = 403,860.25 - Step 5: Solve for x
x = 403,860.25/284.75 - Step 6: Final answer
x = 1,418.30
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.