Finding the Third Proportional to 284,802 and 606,414
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Solution
The third proportional to 284,802 and 606,414 is: 1,291,205.61
Step by Step Solution
- Step 1: Write the proportion equation
284,802 : 606,414 = 606,414 : x - Step 2: Convert to fraction form
284,802/606,414 = 606,414/x - Step 3: Cross multiply
284,802x = 606,414 × 606,414 - Step 4: Simplify right side
284,802x = 367,737,939,396 - Step 5: Solve for x
x = 367,737,939,396/284,802 - Step 6: Final answer
x = 1,291,205.61
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.