Finding the Third Proportional to 215,834 and 469,474
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Solution
The third proportional to 215,834 and 469,474 is: 1,021,182.19
Step by Step Solution
- Step 1: Write the proportion equation
215,834 : 469,474 = 469,474 : x - Step 2: Convert to fraction form
215,834/469,474 = 469,474/x - Step 3: Cross multiply
215,834x = 469,474 × 469,474 - Step 4: Simplify right side
215,834x = 220,405,836,676 - Step 5: Solve for x
x = 220,405,836,676/215,834 - Step 6: Final answer
x = 1,021,182.19
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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.