Finding the Third Proportional to 227,204 and 477,912
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Solution
The third proportional to 227,204 and 477,912 is: 1,005,263.46
Step by Step Solution
- Step 1: Write the proportion equation
227,204 : 477,912 = 477,912 : x - Step 2: Convert to fraction form
227,204/477,912 = 477,912/x - Step 3: Cross multiply
227,204x = 477,912 × 477,912 - Step 4: Simplify right side
227,204x = 228,399,879,744 - Step 5: Solve for x
x = 228,399,879,744/227,204 - Step 6: Final answer
x = 1,005,263.46
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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.