Finding the Third Proportional to 577 and 867
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Solution
The third proportional to 577 and 867 is: 1,302.75
Step by Step Solution
- Step 1: Write the proportion equation
577 : 867 = 867 : x - Step 2: Convert to fraction form
577/867 = 867/x - Step 3: Cross multiply
577x = 867 × 867 - Step 4: Simplify right side
577x = 751,689 - Step 5: Solve for x
x = 751,689/577 - Step 6: Final answer
x = 1,302.75
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.