Finding the Third Proportional to 217,832 and 471,852
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Solution
The third proportional to 217,832 and 471,852 is: 1,022,091.84
Step by Step Solution
- Step 1: Write the proportion equation
217,832 : 471,852 = 471,852 : x - Step 2: Convert to fraction form
217,832/471,852 = 471,852/x - Step 3: Cross multiply
217,832x = 471,852 × 471,852 - Step 4: Simplify right side
217,832x = 222,644,309,904 - Step 5: Solve for x
x = 222,644,309,904/217,832 - Step 6: Final answer
x = 1,022,091.84
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.