Finding the Third Proportional to 450 and 474
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Solution
The third proportional to 450 and 474 is: 499.28
Step by Step Solution
- Step 1: Write the proportion equation
450 : 474 = 474 : x - Step 2: Convert to fraction form
450/474 = 474/x - Step 3: Cross multiply
450x = 474 × 474 - Step 4: Simplify right side
450x = 224,676 - Step 5: Solve for x
x = 224,676/450 - Step 6: Final answer
x = 499.28
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These problems maintain the same ratio (1.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.