Finding the Third Proportional to 230,904 and 496,314
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Solution
The third proportional to 230,904 and 496,314 is: 1,066,796.53
Step by Step Solution
- Step 1: Write the proportion equation
230,904 : 496,314 = 496,314 : x - Step 2: Convert to fraction form
230,904/496,314 = 496,314/x - Step 3: Cross multiply
230,904x = 496,314 × 496,314 - Step 4: Simplify right side
230,904x = 246,327,586,596 - Step 5: Solve for x
x = 246,327,586,596/230,904 - Step 6: Final answer
x = 1,066,796.53
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.