Finding the Third Proportional to 440 and 674
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Solution
The third proportional to 440 and 674 is: 1,032.45
Step by Step Solution
- Step 1: Write the proportion equation
440 : 674 = 674 : x - Step 2: Convert to fraction form
440/674 = 674/x - Step 3: Cross multiply
440x = 674 × 674 - Step 4: Simplify right side
440x = 454,276 - Step 5: Solve for x
x = 454,276/440 - Step 6: Final answer
x = 1,032.45
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.