Finding the Third Proportional to 226,898 and 477,016
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Solution
The third proportional to 226,898 and 477,016 is: 1,002,848.26
Step by Step Solution
- Step 1: Write the proportion equation
226,898 : 477,016 = 477,016 : x - Step 2: Convert to fraction form
226,898/477,016 = 477,016/x - Step 3: Cross multiply
226,898x = 477,016 × 477,016 - Step 4: Simplify right side
226,898x = 227,544,264,256 - Step 5: Solve for x
x = 227,544,264,256/226,898 - Step 6: Final answer
x = 1,002,848.26
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.