Finding the Third Proportional to 215,338 and 471,698
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Solution
The third proportional to 215,338 and 471,698 is: 1,033,254.71
Step by Step Solution
- Step 1: Write the proportion equation
215,338 : 471,698 = 471,698 : x - Step 2: Convert to fraction form
215,338/471,698 = 471,698/x - Step 3: Cross multiply
215,338x = 471,698 × 471,698 - Step 4: Simplify right side
215,338x = 222,499,003,204 - Step 5: Solve for x
x = 222,499,003,204/215,338 - Step 6: Final answer
x = 1,033,254.71
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.