Finding the Third Proportional to 211,272 and 464,016
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Solution
The third proportional to 211,272 and 464,016 is: 1,019,116.82
Step by Step Solution
- Step 1: Write the proportion equation
211,272 : 464,016 = 464,016 : x - Step 2: Convert to fraction form
211,272/464,016 = 464,016/x - Step 3: Cross multiply
211,272x = 464,016 × 464,016 - Step 4: Simplify right side
211,272x = 215,310,848,256 - Step 5: Solve for x
x = 215,310,848,256/211,272 - Step 6: Final answer
x = 1,019,116.82
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.