Finding the Third Proportional to 226,760 and 494,352
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Solution
The third proportional to 226,760 and 494,352 is: 1,077,720.50
Step by Step Solution
- Step 1: Write the proportion equation
226,760 : 494,352 = 494,352 : x - Step 2: Convert to fraction form
226,760/494,352 = 494,352/x - Step 3: Cross multiply
226,760x = 494,352 × 494,352 - Step 4: Simplify right side
226,760x = 244,383,899,904 - Step 5: Solve for x
x = 244,383,899,904/226,760 - Step 6: Final answer
x = 1,077,720.50
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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.