Finding the Third Proportional to 567 and 666
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Solution
The third proportional to 567 and 666 is: 782.29
Step by Step Solution
- Step 1: Write the proportion equation
567 : 666 = 666 : x - Step 2: Convert to fraction form
567/666 = 666/x - Step 3: Cross multiply
567x = 666 × 666 - Step 4: Simplify right side
567x = 443,556 - Step 5: Solve for x
x = 443,556/567 - Step 6: Final answer
x = 782.29
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.