Finding the Third Proportional to 226,109 and 491,584
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Solution
The third proportional to 226,109 and 491,584 is: 1,068,753.69
Step by Step Solution
- Step 1: Write the proportion equation
226,109 : 491,584 = 491,584 : x - Step 2: Convert to fraction form
226,109/491,584 = 491,584/x - Step 3: Cross multiply
226,109x = 491,584 × 491,584 - Step 4: Simplify right side
226,109x = 241,654,829,056 - Step 5: Solve for x
x = 241,654,829,056/226,109 - Step 6: Final answer
x = 1,068,753.69
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.