Finding the Third Proportional to 220,778 and 491,520
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Solution
The third proportional to 220,778 and 491,520 is: 1,094,275.29
Step by Step Solution
- Step 1: Write the proportion equation
220,778 : 491,520 = 491,520 : x - Step 2: Convert to fraction form
220,778/491,520 = 491,520/x - Step 3: Cross multiply
220,778x = 491,520 × 491,520 - Step 4: Simplify right side
220,778x = 241,591,910,400 - Step 5: Solve for x
x = 241,591,910,400/220,778 - Step 6: Final answer
x = 1,094,275.29
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.