Finding the Third Proportional to 214,468 and 471,236
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Solution
The third proportional to 214,468 and 471,236 is: 1,035,414.92
Step by Step Solution
- Step 1: Write the proportion equation
214,468 : 471,236 = 471,236 : x - Step 2: Convert to fraction form
214,468/471,236 = 471,236/x - Step 3: Cross multiply
214,468x = 471,236 × 471,236 - Step 4: Simplify right side
214,468x = 222,063,367,696 - Step 5: Solve for x
x = 222,063,367,696/214,468 - Step 6: Final answer
x = 1,035,414.92
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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.