Finding the Third Proportional to 704 and 1,504
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Solution
The third proportional to 704 and 1,504 is: 3,213.09
Step by Step Solution
- Step 1: Write the proportion equation
704 : 1,504 = 1,504 : x - Step 2: Convert to fraction form
704/1,504 = 1,504/x - Step 3: Cross multiply
704x = 1,504 × 1,504 - Step 4: Simplify right side
704x = 2,262,016 - Step 5: Solve for x
x = 2,262,016/704 - Step 6: Final answer
x = 3,213.09
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.