Finding the Third Proportional to 263,538 and 577,863
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Solution
The third proportional to 263,538 and 577,863 is: 1,267,087.28
Step by Step Solution
- Step 1: Write the proportion equation
263,538 : 577,863 = 577,863 : x - Step 2: Convert to fraction form
263,538/577,863 = 577,863/x - Step 3: Cross multiply
263,538x = 577,863 × 577,863 - Step 4: Simplify right side
263,538x = 333,925,646,769 - Step 5: Solve for x
x = 333,925,646,769/263,538 - Step 6: Final answer
x = 1,267,087.28
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.