Finding the Third Proportional to 381,310 and 821,719
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Solution
The third proportional to 381,310 and 821,719 is: 1,770,795.72
Step by Step Solution
- Step 1: Write the proportion equation
381,310 : 821,719 = 821,719 : x - Step 2: Convert to fraction form
381,310/821,719 = 821,719/x - Step 3: Cross multiply
381,310x = 821,719 × 821,719 - Step 4: Simplify right side
381,310x = 675,222,114,961 - Step 5: Solve for x
x = 675,222,114,961/381,310 - Step 6: Final answer
x = 1,770,795.72
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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.