Finding the Third Proportional to 242,124 and 494,082
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Solution
The third proportional to 242,124 and 494,082 is: 1,008,231.41
Step by Step Solution
- Step 1: Write the proportion equation
242,124 : 494,082 = 494,082 : x - Step 2: Convert to fraction form
242,124/494,082 = 494,082/x - Step 3: Cross multiply
242,124x = 494,082 × 494,082 - Step 4: Simplify right side
242,124x = 244,117,022,724 - Step 5: Solve for x
x = 244,117,022,724/242,124 - Step 6: Final answer
x = 1,008,231.41
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.