Finding the Third Proportional to 231,884 and 488,676
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Solution
The third proportional to 231,884 and 488,676 is: 1,029,843.51
Step by Step Solution
- Step 1: Write the proportion equation
231,884 : 488,676 = 488,676 : x - Step 2: Convert to fraction form
231,884/488,676 = 488,676/x - Step 3: Cross multiply
231,884x = 488,676 × 488,676 - Step 4: Simplify right side
231,884x = 238,804,232,976 - Step 5: Solve for x
x = 238,804,232,976/231,884 - Step 6: Final answer
x = 1,029,843.51
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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.