Finding the Third Proportional to 231,522 and 491,466
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Solution
The third proportional to 231,522 and 491,466 is: 1,043,265.13
Step by Step Solution
- Step 1: Write the proportion equation
231,522 : 491,466 = 491,466 : x - Step 2: Convert to fraction form
231,522/491,466 = 491,466/x - Step 3: Cross multiply
231,522x = 491,466 × 491,466 - Step 4: Simplify right side
231,522x = 241,538,829,156 - Step 5: Solve for x
x = 241,538,829,156/231,522 - Step 6: Final answer
x = 1,043,265.13
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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.