Finding the Third Proportional to 396,624 and 826,064
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Solution
The third proportional to 396,624 and 826,064 is: 1,720,475.14
Step by Step Solution
- Step 1: Write the proportion equation
396,624 : 826,064 = 826,064 : x - Step 2: Convert to fraction form
396,624/826,064 = 826,064/x - Step 3: Cross multiply
396,624x = 826,064 × 826,064 - Step 4: Simplify right side
396,624x = 682,381,732,096 - Step 5: Solve for x
x = 682,381,732,096/396,624 - Step 6: Final answer
x = 1,720,475.14
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.