Finding the Third Proportional to 231,770 and 488,448
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Solution
The third proportional to 231,770 and 488,448 is: 1,029,388.83
Step by Step Solution
- Step 1: Write the proportion equation
231,770 : 488,448 = 488,448 : x - Step 2: Convert to fraction form
231,770/488,448 = 488,448/x - Step 3: Cross multiply
231,770x = 488,448 × 488,448 - Step 4: Simplify right side
231,770x = 238,581,448,704 - Step 5: Solve for x
x = 238,581,448,704/231,770 - Step 6: Final answer
x = 1,029,388.83
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.