Finding the Third Proportional to 218,766 and 467,864
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Solution
The third proportional to 218,766 and 467,864 is: 1,000,597.54
Step by Step Solution
- Step 1: Write the proportion equation
218,766 : 467,864 = 467,864 : x - Step 2: Convert to fraction form
218,766/467,864 = 467,864/x - Step 3: Cross multiply
218,766x = 467,864 × 467,864 - Step 4: Simplify right side
218,766x = 218,896,722,496 - Step 5: Solve for x
x = 218,896,722,496/218,766 - Step 6: Final answer
x = 1,000,597.54
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.