Finding the Third Proportional to 227,112 and 477,744
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Solution
The third proportional to 227,112 and 477,744 is: 1,004,963.76
Step by Step Solution
- Step 1: Write the proportion equation
227,112 : 477,744 = 477,744 : x - Step 2: Convert to fraction form
227,112/477,744 = 477,744/x - Step 3: Cross multiply
227,112x = 477,744 × 477,744 - Step 4: Simplify right side
227,112x = 228,239,329,536 - Step 5: Solve for x
x = 228,239,329,536/227,112 - Step 6: Final answer
x = 1,004,963.76
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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.