Finding the Third Proportional to 216,214 and 471,794
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Solution
The third proportional to 216,214 and 471,794 is: 1,029,487.35
Step by Step Solution
- Step 1: Write the proportion equation
216,214 : 471,794 = 471,794 : x - Step 2: Convert to fraction form
216,214/471,794 = 471,794/x - Step 3: Cross multiply
216,214x = 471,794 × 471,794 - Step 4: Simplify right side
216,214x = 222,589,578,436 - Step 5: Solve for x
x = 222,589,578,436/216,214 - Step 6: Final answer
x = 1,029,487.35
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.