Finding the Third Proportional to 231,871 and 503,398
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Solution
The third proportional to 231,871 and 503,398 is: 1,092,890.21
Step by Step Solution
- Step 1: Write the proportion equation
231,871 : 503,398 = 503,398 : x - Step 2: Convert to fraction form
231,871/503,398 = 503,398/x - Step 3: Cross multiply
231,871x = 503,398 × 503,398 - Step 4: Simplify right side
231,871x = 253,409,546,404 - Step 5: Solve for x
x = 253,409,546,404/231,871 - Step 6: Final answer
x = 1,092,890.21
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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.