Finding the Third Proportional to 209,847 and 453,198
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Solution
The third proportional to 209,847 and 453,198 is: 978,753.22
Step by Step Solution
- Step 1: Write the proportion equation
209,847 : 453,198 = 453,198 : x - Step 2: Convert to fraction form
209,847/453,198 = 453,198/x - Step 3: Cross multiply
209,847x = 453,198 × 453,198 - Step 4: Simplify right side
209,847x = 205,388,427,204 - Step 5: Solve for x
x = 205,388,427,204/209,847 - Step 6: Final answer
x = 978,753.22
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.