Finding the Third Proportional to 535,204 and 826,790
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Solution
The third proportional to 535,204 and 826,790 is: 1,277,235.79
Step by Step Solution
- Step 1: Write the proportion equation
535,204 : 826,790 = 826,790 : x - Step 2: Convert to fraction form
535,204/826,790 = 826,790/x - Step 3: Cross multiply
535,204x = 826,790 × 826,790 - Step 4: Simplify right side
535,204x = 683,581,704,100 - Step 5: Solve for x
x = 683,581,704,100/535,204 - Step 6: Final answer
x = 1,277,235.79
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.