Finding the Third Proportional to 227,412 and 491,016
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Solution
The third proportional to 227,412 and 491,016 is: 1,060,175.86
Step by Step Solution
- Step 1: Write the proportion equation
227,412 : 491,016 = 491,016 : x - Step 2: Convert to fraction form
227,412/491,016 = 491,016/x - Step 3: Cross multiply
227,412x = 491,016 × 491,016 - Step 4: Simplify right side
227,412x = 241,096,712,256 - Step 5: Solve for x
x = 241,096,712,256/227,412 - Step 6: Final answer
x = 1,060,175.86
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.