Finding the Third Proportional to 676 and 780
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Solution
The third proportional to 676 and 780 is: 900
Step by Step Solution
- Step 1: Write the proportion equation
676 : 780 = 780 : x - Step 2: Convert to fraction form
676/780 = 780/x - Step 3: Cross multiply
676x = 780 × 780 - Step 4: Simplify right side
676x = 608,400 - Step 5: Solve for x
x = 608,400/676 - Step 6: Final answer
x = 900
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.