Finding the Third Proportional to 227,120 and 477,780
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Solution
The third proportional to 227,120 and 477,780 is: 1,005,079.82
Step by Step Solution
- Step 1: Write the proportion equation
227,120 : 477,780 = 477,780 : x - Step 2: Convert to fraction form
227,120/477,780 = 477,780/x - Step 3: Cross multiply
227,120x = 477,780 × 477,780 - Step 4: Simplify right side
227,120x = 228,273,728,400 - Step 5: Solve for x
x = 228,273,728,400/227,120 - Step 6: Final answer
x = 1,005,079.82
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.