Finding the Third Proportional to 226,775 and 496,642
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Solution
The third proportional to 226,775 and 496,642 is: 1,087,656.38
Step by Step Solution
- Step 1: Write the proportion equation
226,775 : 496,642 = 496,642 : x - Step 2: Convert to fraction form
226,775/496,642 = 496,642/x - Step 3: Cross multiply
226,775x = 496,642 × 496,642 - Step 4: Simplify right side
226,775x = 246,653,276,164 - Step 5: Solve for x
x = 246,653,276,164/226,775 - Step 6: Final answer
x = 1,087,656.38
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.