Finding the Third Proportional to 217,976 and 467,054
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Solution
The third proportional to 217,976 and 467,054 is: 1,000,749.80
Step by Step Solution
- Step 1: Write the proportion equation
217,976 : 467,054 = 467,054 : x - Step 2: Convert to fraction form
217,976/467,054 = 467,054/x - Step 3: Cross multiply
217,976x = 467,054 × 467,054 - Step 4: Simplify right side
217,976x = 218,139,438,916 - Step 5: Solve for x
x = 218,139,438,916/217,976 - Step 6: Final answer
x = 1,000,749.80
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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.