Finding the Third Proportional to 379,384 and 812,744
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Solution
The third proportional to 379,384 and 812,744 is: 1,741,119.31
Step by Step Solution
- Step 1: Write the proportion equation
379,384 : 812,744 = 812,744 : x - Step 2: Convert to fraction form
379,384/812,744 = 812,744/x - Step 3: Cross multiply
379,384x = 812,744 × 812,744 - Step 4: Simplify right side
379,384x = 660,552,809,536 - Step 5: Solve for x
x = 660,552,809,536/379,384 - Step 6: Final answer
x = 1,741,119.31
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.