Finding the Third Proportional to 231,526 and 491,474
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Solution
The third proportional to 231,526 and 491,474 is: 1,043,281.07
Step by Step Solution
- Step 1: Write the proportion equation
231,526 : 491,474 = 491,474 : x - Step 2: Convert to fraction form
231,526/491,474 = 491,474/x - Step 3: Cross multiply
231,526x = 491,474 × 491,474 - Step 4: Simplify right side
231,526x = 241,546,692,676 - Step 5: Solve for x
x = 241,546,692,676/231,526 - Step 6: Final answer
x = 1,043,281.07
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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.