Finding the Third Proportional to 206,794 and 446,600
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Solution
The third proportional to 206,794 and 446,600 is: 964,493.94
Step by Step Solution
- Step 1: Write the proportion equation
206,794 : 446,600 = 446,600 : x - Step 2: Convert to fraction form
206,794/446,600 = 446,600/x - Step 3: Cross multiply
206,794x = 446,600 × 446,600 - Step 4: Simplify right side
206,794x = 199,451,560,000 - Step 5: Solve for x
x = 199,451,560,000/206,794 - Step 6: Final answer
x = 964,493.94
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.