Finding the Third Proportional to 300,982.50 and 412,722
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Solution
The third proportional to 300,982.50 and 412,722 is: 565,944.70
Step by Step Solution
- Step 1: Write the proportion equation
300,982.50 : 412,722 = 412,722 : x - Step 2: Convert to fraction form
300,982.50/412,722 = 412,722/x - Step 3: Cross multiply
300,982.50x = 412,722 × 412,722 - Step 4: Simplify right side
300,982.50x = 170,339,449,284 - Step 5: Solve for x
x = 170,339,449,284/300,982.50 - Step 6: Final answer
x = 565,944.70
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.