Finding the Third Proportional to 231,868 and 488,638
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Solution
The third proportional to 231,868 and 488,638 is: 1,029,754.41
Step by Step Solution
- Step 1: Write the proportion equation
231,868 : 488,638 = 488,638 : x - Step 2: Convert to fraction form
231,868/488,638 = 488,638/x - Step 3: Cross multiply
231,868x = 488,638 × 488,638 - Step 4: Simplify right side
231,868x = 238,767,095,044 - Step 5: Solve for x
x = 238,767,095,044/231,868 - Step 6: Final answer
x = 1,029,754.41
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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.