Finding the Third Proportional to 442 and 492
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Solution
The third proportional to 442 and 492 is: 547.66
Step by Step Solution
- Step 1: Write the proportion equation
442 : 492 = 492 : x - Step 2: Convert to fraction form
442/492 = 492/x - Step 3: Cross multiply
442x = 492 × 492 - Step 4: Simplify right side
442x = 242,064 - Step 5: Solve for x
x = 242,064/442 - Step 6: Final answer
x = 547.66
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.