Finding the Third Proportional to 231,862 and 488,630
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Solution
The third proportional to 231,862 and 488,630 is: 1,029,747.34
Step by Step Solution
- Step 1: Write the proportion equation
231,862 : 488,630 = 488,630 : x - Step 2: Convert to fraction form
231,862/488,630 = 488,630/x - Step 3: Cross multiply
231,862x = 488,630 × 488,630 - Step 4: Simplify right side
231,862x = 238,759,276,900 - Step 5: Solve for x
x = 238,759,276,900/231,862 - Step 6: Final answer
x = 1,029,747.34
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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.