Finding the Third Proportional to 227,034 and 481,742
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Solution
The third proportional to 227,034 and 481,742 is: 1,022,205.28
Step by Step Solution
- Step 1: Write the proportion equation
227,034 : 481,742 = 481,742 : x - Step 2: Convert to fraction form
227,034/481,742 = 481,742/x - Step 3: Cross multiply
227,034x = 481,742 × 481,742 - Step 4: Simplify right side
227,034x = 232,075,354,564 - Step 5: Solve for x
x = 232,075,354,564/227,034 - Step 6: Final answer
x = 1,022,205.28
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.