Finding the Third Proportional to 217,848 and 471,882
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Solution
The third proportional to 217,848 and 471,882 is: 1,022,146.73
Step by Step Solution
- Step 1: Write the proportion equation
217,848 : 471,882 = 471,882 : x - Step 2: Convert to fraction form
217,848/471,882 = 471,882/x - Step 3: Cross multiply
217,848x = 471,882 × 471,882 - Step 4: Simplify right side
217,848x = 222,672,621,924 - Step 5: Solve for x
x = 222,672,621,924/217,848 - Step 6: Final answer
x = 1,022,146.73
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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.