Finding the Third Proportional to 227,862 and 490,784
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Solution
The third proportional to 227,862 and 490,784 is: 1,057,082.51
Step by Step Solution
- Step 1: Write the proportion equation
227,862 : 490,784 = 490,784 : x - Step 2: Convert to fraction form
227,862/490,784 = 490,784/x - Step 3: Cross multiply
227,862x = 490,784 × 490,784 - Step 4: Simplify right side
227,862x = 240,868,934,656 - Step 5: Solve for x
x = 240,868,934,656/227,862 - Step 6: Final answer
x = 1,057,082.51
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.