Finding the Third Proportional to 416,024 and 851,761
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Solution
The third proportional to 416,024 and 851,761 is: 1,743,882.09
Step by Step Solution
- Step 1: Write the proportion equation
416,024 : 851,761 = 851,761 : x - Step 2: Convert to fraction form
416,024/851,761 = 851,761/x - Step 3: Cross multiply
416,024x = 851,761 × 851,761 - Step 4: Simplify right side
416,024x = 725,496,801,121 - Step 5: Solve for x
x = 725,496,801,121/416,024 - Step 6: Final answer
x = 1,743,882.09
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.