Finding the Third Proportional to 225,846 and 491,058
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Solution
The third proportional to 225,846 and 491,058 is: 1,067,709.68
Step by Step Solution
- Step 1: Write the proportion equation
225,846 : 491,058 = 491,058 : x - Step 2: Convert to fraction form
225,846/491,058 = 491,058/x - Step 3: Cross multiply
225,846x = 491,058 × 491,058 - Step 4: Simplify right side
225,846x = 241,137,959,364 - Step 5: Solve for x
x = 241,137,959,364/225,846 - Step 6: Final answer
x = 1,067,709.68
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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.