Finding the Third Proportional to 226,820 and 494,464
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Solution
The third proportional to 226,820 and 494,464 is: 1,077,923.67
Step by Step Solution
- Step 1: Write the proportion equation
226,820 : 494,464 = 494,464 : x - Step 2: Convert to fraction form
226,820/494,464 = 494,464/x - Step 3: Cross multiply
226,820x = 494,464 × 494,464 - Step 4: Simplify right side
226,820x = 244,494,647,296 - Step 5: Solve for x
x = 244,494,647,296/226,820 - Step 6: Final answer
x = 1,077,923.67
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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.