Finding the Third Proportional to 231,913 and 498,886
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Solution
The third proportional to 231,913 and 498,886 is: 1,073,192.28
Step by Step Solution
- Step 1: Write the proportion equation
231,913 : 498,886 = 498,886 : x - Step 2: Convert to fraction form
231,913/498,886 = 498,886/x - Step 3: Cross multiply
231,913x = 498,886 × 498,886 - Step 4: Simplify right side
231,913x = 248,887,240,996 - Step 5: Solve for x
x = 248,887,240,996/231,913 - Step 6: Final answer
x = 1,073,192.28
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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.