Finding the Third Proportional to 213,510 and 494,222
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Solution
The third proportional to 213,510 and 494,222 is: 1,143,999.74
Step by Step Solution
- Step 1: Write the proportion equation
213,510 : 494,222 = 494,222 : x - Step 2: Convert to fraction form
213,510/494,222 = 494,222/x - Step 3: Cross multiply
213,510x = 494,222 × 494,222 - Step 4: Simplify right side
213,510x = 244,255,385,284 - Step 5: Solve for x
x = 244,255,385,284/213,510 - Step 6: Final answer
x = 1,143,999.74
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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.