Finding the Third Proportional to 299,706 and 642,162
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Solution
The third proportional to 299,706 and 642,162 is: 1,375,921.85
Step by Step Solution
- Step 1: Write the proportion equation
299,706 : 642,162 = 642,162 : x - Step 2: Convert to fraction form
299,706/642,162 = 642,162/x - Step 3: Cross multiply
299,706x = 642,162 × 642,162 - Step 4: Simplify right side
299,706x = 412,372,034,244 - Step 5: Solve for x
x = 412,372,034,244/299,706 - Step 6: Final answer
x = 1,375,921.85
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.