Finding the Third Proportional to 214,839 and 467,910
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Solution
The third proportional to 214,839 and 467,910 is: 1,019,087.63
Step by Step Solution
- Step 1: Write the proportion equation
214,839 : 467,910 = 467,910 : x - Step 2: Convert to fraction form
214,839/467,910 = 467,910/x - Step 3: Cross multiply
214,839x = 467,910 × 467,910 - Step 4: Simplify right side
214,839x = 218,939,768,100 - Step 5: Solve for x
x = 218,939,768,100/214,839 - Step 6: Final answer
x = 1,019,087.63
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.