Finding the Third Proportional to 226,782 and 496,656
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Solution
The third proportional to 226,782 and 496,656 is: 1,087,684.13
Step by Step Solution
- Step 1: Write the proportion equation
226,782 : 496,656 = 496,656 : x - Step 2: Convert to fraction form
226,782/496,656 = 496,656/x - Step 3: Cross multiply
226,782x = 496,656 × 496,656 - Step 4: Simplify right side
226,782x = 246,667,182,336 - Step 5: Solve for x
x = 246,667,182,336/226,782 - Step 6: Final answer
x = 1,087,684.13
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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.