Finding the Third Proportional to 450 and 492
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Solution
The third proportional to 450 and 492 is: 537.92
Step by Step Solution
- Step 1: Write the proportion equation
450 : 492 = 492 : x - Step 2: Convert to fraction form
450/492 = 492/x - Step 3: Cross multiply
450x = 492 × 492 - Step 4: Simplify right side
450x = 242,064 - Step 5: Solve for x
x = 242,064/450 - Step 6: Final answer
x = 537.92
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.