Finding the Third Proportional to 236,414 and 513,016
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Solution
The third proportional to 236,414 and 513,016 is: 1,113,239.56
Step by Step Solution
- Step 1: Write the proportion equation
236,414 : 513,016 = 513,016 : x - Step 2: Convert to fraction form
236,414/513,016 = 513,016/x - Step 3: Cross multiply
236,414x = 513,016 × 513,016 - Step 4: Simplify right side
236,414x = 263,185,416,256 - Step 5: Solve for x
x = 263,185,416,256/236,414 - Step 6: Final answer
x = 1,113,239.56
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.