Finding the Third Proportional to 222,514 and 493,074
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Solution
The third proportional to 222,514 and 493,074 is: 1,092,614.26
Step by Step Solution
- Step 1: Write the proportion equation
222,514 : 493,074 = 493,074 : x - Step 2: Convert to fraction form
222,514/493,074 = 493,074/x - Step 3: Cross multiply
222,514x = 493,074 × 493,074 - Step 4: Simplify right side
222,514x = 243,121,969,476 - Step 5: Solve for x
x = 243,121,969,476/222,514 - Step 6: Final answer
x = 1,092,614.26
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.