Finding the Third Proportional to 216,957 and 471,231
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Solution
The third proportional to 216,957 and 471,231 is: 1,023,514.59
Step by Step Solution
- Step 1: Write the proportion equation
216,957 : 471,231 = 471,231 : x - Step 2: Convert to fraction form
216,957/471,231 = 471,231/x - Step 3: Cross multiply
216,957x = 471,231 × 471,231 - Step 4: Simplify right side
216,957x = 222,058,655,361 - Step 5: Solve for x
x = 222,058,655,361/216,957 - Step 6: Final answer
x = 1,023,514.59
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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.