Finding the Third Proportional to 776 and 800
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Solution
The third proportional to 776 and 800 is: 824.74
Step by Step Solution
- Step 1: Write the proportion equation
776 : 800 = 800 : x - Step 2: Convert to fraction form
776/800 = 800/x - Step 3: Cross multiply
776x = 800 × 800 - Step 4: Simplify right side
776x = 640,000 - Step 5: Solve for x
x = 640,000/776 - Step 6: Final answer
x = 824.74
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Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.