Finding the Third Proportional to 227,238 and 494,378
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Solution
The third proportional to 227,238 and 494,378 is: 1,075,566.62
Step by Step Solution
- Step 1: Write the proportion equation
227,238 : 494,378 = 494,378 : x - Step 2: Convert to fraction form
227,238/494,378 = 494,378/x - Step 3: Cross multiply
227,238x = 494,378 × 494,378 - Step 4: Simplify right side
227,238x = 244,409,606,884 - Step 5: Solve for x
x = 244,409,606,884/227,238 - Step 6: Final answer
x = 1,075,566.62
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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.