Finding the Third Proportional to 219,224 and 471,720
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Solution
The third proportional to 219,224 and 471,720 is: 1,015,033.75
Step by Step Solution
- Step 1: Write the proportion equation
219,224 : 471,720 = 471,720 : x - Step 2: Convert to fraction form
219,224/471,720 = 471,720/x - Step 3: Cross multiply
219,224x = 471,720 × 471,720 - Step 4: Simplify right side
219,224x = 222,519,758,400 - Step 5: Solve for x
x = 222,519,758,400/219,224 - Step 6: Final answer
x = 1,015,033.75
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.