Finding the Third Proportional to 214,482 and 471,264
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Solution
The third proportional to 214,482 and 471,264 is: 1,035,470.38
Step by Step Solution
- Step 1: Write the proportion equation
214,482 : 471,264 = 471,264 : x - Step 2: Convert to fraction form
214,482/471,264 = 471,264/x - Step 3: Cross multiply
214,482x = 471,264 × 471,264 - Step 4: Simplify right side
214,482x = 222,089,757,696 - Step 5: Solve for x
x = 222,089,757,696/214,482 - Step 6: Final answer
x = 1,035,470.38
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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.