Finding the Third Proportional to 218,620 and 471,680
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Solution
The third proportional to 218,620 and 471,680 is: 1,017,665.46
Step by Step Solution
- Step 1: Write the proportion equation
218,620 : 471,680 = 471,680 : x - Step 2: Convert to fraction form
218,620/471,680 = 471,680/x - Step 3: Cross multiply
218,620x = 471,680 × 471,680 - Step 4: Simplify right side
218,620x = 222,482,022,400 - Step 5: Solve for x
x = 222,482,022,400/218,620 - Step 6: Final answer
x = 1,017,665.46
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.