Finding the Third Proportional to 217,811 and 467,138
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Solution
The third proportional to 217,811 and 467,138 is: 1,001,868.18
Step by Step Solution
- Step 1: Write the proportion equation
217,811 : 467,138 = 467,138 : x - Step 2: Convert to fraction form
217,811/467,138 = 467,138/x - Step 3: Cross multiply
217,811x = 467,138 × 467,138 - Step 4: Simplify right side
217,811x = 218,217,911,044 - Step 5: Solve for x
x = 218,217,911,044/217,811 - Step 6: Final answer
x = 1,001,868.18
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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.