Finding the Third Proportional to 383,676 and 782,584
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Solution
The third proportional to 383,676 and 782,584 is: 1,596,236.71
Step by Step Solution
- Step 1: Write the proportion equation
383,676 : 782,584 = 782,584 : x - Step 2: Convert to fraction form
383,676/782,584 = 782,584/x - Step 3: Cross multiply
383,676x = 782,584 × 782,584 - Step 4: Simplify right side
383,676x = 612,437,717,056 - Step 5: Solve for x
x = 612,437,717,056/383,676 - Step 6: Final answer
x = 1,596,236.71
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.