Finding the Third Proportional to 214,758 and 471,996
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Solution
The third proportional to 214,758 and 471,996 is: 1,037,354.72
Step by Step Solution
- Step 1: Write the proportion equation
214,758 : 471,996 = 471,996 : x - Step 2: Convert to fraction form
214,758/471,996 = 471,996/x - Step 3: Cross multiply
214,758x = 471,996 × 471,996 - Step 4: Simplify right side
214,758x = 222,780,224,016 - Step 5: Solve for x
x = 222,780,224,016/214,758 - Step 6: Final answer
x = 1,037,354.72
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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.