Finding the Third Proportional to 377,380 and 824,744
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Solution
The third proportional to 377,380 and 824,744 is: 1,802,434.32
Step by Step Solution
- Step 1: Write the proportion equation
377,380 : 824,744 = 824,744 : x - Step 2: Convert to fraction form
377,380/824,744 = 824,744/x - Step 3: Cross multiply
377,380x = 824,744 × 824,744 - Step 4: Simplify right side
377,380x = 680,202,665,536 - Step 5: Solve for x
x = 680,202,665,536/377,380 - Step 6: Final answer
x = 1,802,434.32
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.