Finding the Third Proportional to 261,828 and 400,357
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Solution
The third proportional to 261,828 and 400,357 is: 612,179.47
Step by Step Solution
- Step 1: Write the proportion equation
261,828 : 400,357 = 400,357 : x - Step 2: Convert to fraction form
261,828/400,357 = 400,357/x - Step 3: Cross multiply
261,828x = 400,357 × 400,357 - Step 4: Simplify right side
261,828x = 160,285,727,449 - Step 5: Solve for x
x = 160,285,727,449/261,828 - Step 6: Final answer
x = 612,179.47
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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.