Finding the Third Proportional to 213,532 and 494,274
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Solution
The third proportional to 213,532 and 494,274 is: 1,144,122.60
Step by Step Solution
- Step 1: Write the proportion equation
213,532 : 494,274 = 494,274 : x - Step 2: Convert to fraction form
213,532/494,274 = 494,274/x - Step 3: Cross multiply
213,532x = 494,274 × 494,274 - Step 4: Simplify right side
213,532x = 244,306,787,076 - Step 5: Solve for x
x = 244,306,787,076/213,532 - Step 6: Final answer
x = 1,144,122.60
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.