Finding the Third Proportional to 218,650 and 471,752
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Solution
The third proportional to 218,650 and 471,752 is: 1,017,836.49
Step by Step Solution
- Step 1: Write the proportion equation
218,650 : 471,752 = 471,752 : x - Step 2: Convert to fraction form
218,650/471,752 = 471,752/x - Step 3: Cross multiply
218,650x = 471,752 × 471,752 - Step 4: Simplify right side
218,650x = 222,549,949,504 - Step 5: Solve for x
x = 222,549,949,504/218,650 - Step 6: Final answer
x = 1,017,836.49
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.