Finding the Third Proportional to 512,272.50 and 823,082.75
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Solution
The third proportional to 512,272.50 and 823,082.75 is: 1,322,470.39
Step by Step Solution
- Step 1: Write the proportion equation
512,272.50 : 823,082.75 = 823,082.75 : x - Step 2: Convert to fraction form
512,272.50/823,082.75 = 823,082.75/x - Step 3: Cross multiply
512,272.50x = 823,082.75 × 823,082.75 - Step 4: Simplify right side
512,272.50x = 677,465,213,347.56 - Step 5: Solve for x
x = 677,465,213,347.56/512,272.50 - Step 6: Final answer
x = 1,322,470.39
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.