Finding the Third Proportional to 322,760 and 683,914
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Solution
The third proportional to 322,760 and 683,914 is: 1,449,183.17
Step by Step Solution
- Step 1: Write the proportion equation
322,760 : 683,914 = 683,914 : x - Step 2: Convert to fraction form
322,760/683,914 = 683,914/x - Step 3: Cross multiply
322,760x = 683,914 × 683,914 - Step 4: Simplify right side
322,760x = 467,738,359,396 - Step 5: Solve for x
x = 467,738,359,396/322,760 - Step 6: Final answer
x = 1,449,183.17
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.