Finding the Third Proportional to 261,844 and 400,382
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Solution
The third proportional to 261,844 and 400,382 is: 612,218.52
Step by Step Solution
- Step 1: Write the proportion equation
261,844 : 400,382 = 400,382 : x - Step 2: Convert to fraction form
261,844/400,382 = 400,382/x - Step 3: Cross multiply
261,844x = 400,382 × 400,382 - Step 4: Simplify right side
261,844x = 160,305,745,924 - Step 5: Solve for x
x = 160,305,745,924/261,844 - Step 6: Final answer
x = 612,218.52
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.