Finding the Third Proportional to 204,738 and 443,012
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Solution
The third proportional to 204,738 and 443,012 is: 958,589.18
Step by Step Solution
- Step 1: Write the proportion equation
204,738 : 443,012 = 443,012 : x - Step 2: Convert to fraction form
204,738/443,012 = 443,012/x - Step 3: Cross multiply
204,738x = 443,012 × 443,012 - Step 4: Simplify right side
204,738x = 196,259,632,144 - Step 5: Solve for x
x = 196,259,632,144/204,738 - Step 6: Final answer
x = 958,589.18
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.