Finding the Third Proportional to 229,794 and 496,482
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Solution
The third proportional to 229,794 and 496,482 is: 1,072,675.42
Step by Step Solution
- Step 1: Write the proportion equation
229,794 : 496,482 = 496,482 : x - Step 2: Convert to fraction form
229,794/496,482 = 496,482/x - Step 3: Cross multiply
229,794x = 496,482 × 496,482 - Step 4: Simplify right side
229,794x = 246,494,376,324 - Step 5: Solve for x
x = 246,494,376,324/229,794 - Step 6: Final answer
x = 1,072,675.42
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.