Finding the Third Proportional to 231,864 and 483,744
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Solution
The third proportional to 231,864 and 483,744 is: 1,009,247.91
Step by Step Solution
- Step 1: Write the proportion equation
231,864 : 483,744 = 483,744 : x - Step 2: Convert to fraction form
231,864/483,744 = 483,744/x - Step 3: Cross multiply
231,864x = 483,744 × 483,744 - Step 4: Simplify right side
231,864x = 234,008,257,536 - Step 5: Solve for x
x = 234,008,257,536/231,864 - Step 6: Final answer
x = 1,009,247.91
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.