Finding the Third Proportional to 446 and 843
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Solution
The third proportional to 446 and 843 is: 1,593.38
Step by Step Solution
- Step 1: Write the proportion equation
446 : 843 = 843 : x - Step 2: Convert to fraction form
446/843 = 843/x - Step 3: Cross multiply
446x = 843 × 843 - Step 4: Simplify right side
446x = 710,649 - Step 5: Solve for x
x = 710,649/446 - Step 6: Final answer
x = 1,593.38
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Why These Related Problems?
These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.