Finding the Third Proportional to 214,676 and 471,848
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Solution
The third proportional to 214,676 and 471,848 is: 1,037,100.26
Step by Step Solution
- Step 1: Write the proportion equation
214,676 : 471,848 = 471,848 : x - Step 2: Convert to fraction form
214,676/471,848 = 471,848/x - Step 3: Cross multiply
214,676x = 471,848 × 471,848 - Step 4: Simplify right side
214,676x = 222,640,535,104 - Step 5: Solve for x
x = 222,640,535,104/214,676 - Step 6: Final answer
x = 1,037,100.26
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.