Finding the Third Proportional to 520,096 and 825,244
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Solution
The third proportional to 520,096 and 825,244 is: 1,309,426.84
Step by Step Solution
- Step 1: Write the proportion equation
520,096 : 825,244 = 825,244 : x - Step 2: Convert to fraction form
520,096/825,244 = 825,244/x - Step 3: Cross multiply
520,096x = 825,244 × 825,244 - Step 4: Simplify right side
520,096x = 681,027,659,536 - Step 5: Solve for x
x = 681,027,659,536/520,096 - Step 6: Final answer
x = 1,309,426.84
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.