Finding the Third Proportional to 416 and 440
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Solution
The third proportional to 416 and 440 is: 465.38
Step by Step Solution
- Step 1: Write the proportion equation
416 : 440 = 440 : x - Step 2: Convert to fraction form
416/440 = 440/x - Step 3: Cross multiply
416x = 440 × 440 - Step 4: Simplify right side
416x = 193,600 - Step 5: Solve for x
x = 193,600/416 - Step 6: Final answer
x = 465.38
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These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.