Finding the Third Proportional to 214,436 and 471,212
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Solution
The third proportional to 214,436 and 471,212 is: 1,035,463.96
Step by Step Solution
- Step 1: Write the proportion equation
214,436 : 471,212 = 471,212 : x - Step 2: Convert to fraction form
214,436/471,212 = 471,212/x - Step 3: Cross multiply
214,436x = 471,212 × 471,212 - Step 4: Simplify right side
214,436x = 222,040,748,944 - Step 5: Solve for x
x = 222,040,748,944/214,436 - Step 6: Final answer
x = 1,035,463.96
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.