Finding the Third Proportional to 217,860 and 471,912
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Solution
The third proportional to 217,860 and 471,912 is: 1,022,220.40
Step by Step Solution
- Step 1: Write the proportion equation
217,860 : 471,912 = 471,912 : x - Step 2: Convert to fraction form
217,860/471,912 = 471,912/x - Step 3: Cross multiply
217,860x = 471,912 × 471,912 - Step 4: Simplify right side
217,860x = 222,700,935,744 - Step 5: Solve for x
x = 222,700,935,744/217,860 - Step 6: Final answer
x = 1,022,220.40
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.