Finding the Third Proportional to 218,724 and 467,778
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Solution
The third proportional to 218,724 and 467,778 is: 1,000,421.80
Step by Step Solution
- Step 1: Write the proportion equation
218,724 : 467,778 = 467,778 : x - Step 2: Convert to fraction form
218,724/467,778 = 467,778/x - Step 3: Cross multiply
218,724x = 467,778 × 467,778 - Step 4: Simplify right side
218,724x = 218,816,257,284 - Step 5: Solve for x
x = 218,816,257,284/218,724 - Step 6: Final answer
x = 1,000,421.80
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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.