Finding the Third Proportional to 362,420 and 771,496
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Solution
The third proportional to 362,420 and 771,496 is: 1,642,310.24
Step by Step Solution
- Step 1: Write the proportion equation
362,420 : 771,496 = 771,496 : x - Step 2: Convert to fraction form
362,420/771,496 = 771,496/x - Step 3: Cross multiply
362,420x = 771,496 × 771,496 - Step 4: Simplify right side
362,420x = 595,206,078,016 - Step 5: Solve for x
x = 595,206,078,016/362,420 - Step 6: Final answer
x = 1,642,310.24
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.