Finding the Third Proportional to 231,498 and 491,418
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Solution
The third proportional to 231,498 and 491,418 is: 1,043,169.49
Step by Step Solution
- Step 1: Write the proportion equation
231,498 : 491,418 = 491,418 : x - Step 2: Convert to fraction form
231,498/491,418 = 491,418/x - Step 3: Cross multiply
231,498x = 491,418 × 491,418 - Step 4: Simplify right side
231,498x = 241,491,650,724 - Step 5: Solve for x
x = 241,491,650,724/231,498 - Step 6: Final answer
x = 1,043,169.49
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.