Finding the Third Proportional to 327,814 and 715,204
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Solution
The third proportional to 327,814 and 715,204 is: 1,560,387.18
Step by Step Solution
- Step 1: Write the proportion equation
327,814 : 715,204 = 715,204 : x - Step 2: Convert to fraction form
327,814/715,204 = 715,204/x - Step 3: Cross multiply
327,814x = 715,204 × 715,204 - Step 4: Simplify right side
327,814x = 511,516,761,616 - Step 5: Solve for x
x = 511,516,761,616/327,814 - Step 6: Final answer
x = 1,560,387.18
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.