Finding the Third Proportional to 226,896 and 477,012
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Solution
The third proportional to 226,896 and 477,012 is: 1,002,840.28
Step by Step Solution
- Step 1: Write the proportion equation
226,896 : 477,012 = 477,012 : x - Step 2: Convert to fraction form
226,896/477,012 = 477,012/x - Step 3: Cross multiply
226,896x = 477,012 × 477,012 - Step 4: Simplify right side
226,896x = 227,540,448,144 - Step 5: Solve for x
x = 227,540,448,144/226,896 - Step 6: Final answer
x = 1,002,840.28
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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.