Finding the Third Proportional to 585 and 666
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Solution
The third proportional to 585 and 666 is: 758.22
Step by Step Solution
- Step 1: Write the proportion equation
585 : 666 = 666 : x - Step 2: Convert to fraction form
585/666 = 666/x - Step 3: Cross multiply
585x = 666 × 666 - Step 4: Simplify right side
585x = 443,556 - Step 5: Solve for x
x = 443,556/585 - Step 6: Final answer
x = 758.22
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Why These Related Problems?
These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.