Finding the Third Proportional to 206,838 and 446,684
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Solution
The third proportional to 206,838 and 446,684 is: 964,651.54
Step by Step Solution
- Step 1: Write the proportion equation
206,838 : 446,684 = 446,684 : x - Step 2: Convert to fraction form
206,838/446,684 = 446,684/x - Step 3: Cross multiply
206,838x = 446,684 × 446,684 - Step 4: Simplify right side
206,838x = 199,526,595,856 - Step 5: Solve for x
x = 199,526,595,856/206,838 - Step 6: Final answer
x = 964,651.54
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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.