Finding the Third Proportional to 677 and 1,204
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Solution
The third proportional to 677 and 1,204 is: 2,141.23
Step by Step Solution
- Step 1: Write the proportion equation
677 : 1,204 = 1,204 : x - Step 2: Convert to fraction form
677/1,204 = 1,204/x - Step 3: Cross multiply
677x = 1,204 × 1,204 - Step 4: Simplify right side
677x = 1,449,616 - Step 5: Solve for x
x = 1,449,616/677 - Step 6: Final answer
x = 2,141.23
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Why These Related Problems?
These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.