Finding the Third Proportional to 396,425 and 825,682
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Solution
The third proportional to 396,425 and 825,682 is: 1,719,747.15
Step by Step Solution
- Step 1: Write the proportion equation
396,425 : 825,682 = 825,682 : x - Step 2: Convert to fraction form
396,425/825,682 = 825,682/x - Step 3: Cross multiply
396,425x = 825,682 × 825,682 - Step 4: Simplify right side
396,425x = 681,750,765,124 - Step 5: Solve for x
x = 681,750,765,124/396,425 - Step 6: Final answer
x = 1,719,747.15
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.