Finding the Third Proportional to 440 and 494
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Solution
The third proportional to 440 and 494 is: 554.63
Step by Step Solution
- Step 1: Write the proportion equation
440 : 494 = 494 : x - Step 2: Convert to fraction form
440/494 = 494/x - Step 3: Cross multiply
440x = 494 × 494 - Step 4: Simplify right side
440x = 244,036 - Step 5: Solve for x
x = 244,036/440 - Step 6: Final answer
x = 554.63
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.