Finding the Third Proportional to 226,744 and 494,314
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Solution
The third proportional to 226,744 and 494,314 is: 1,077,630.86
Step by Step Solution
- Step 1: Write the proportion equation
226,744 : 494,314 = 494,314 : x - Step 2: Convert to fraction form
226,744/494,314 = 494,314/x - Step 3: Cross multiply
226,744x = 494,314 × 494,314 - Step 4: Simplify right side
226,744x = 244,346,330,596 - Step 5: Solve for x
x = 244,346,330,596/226,744 - Step 6: Final answer
x = 1,077,630.86
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.