Finding the Third Proportional to 230,264 and 496,812
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Solution
The third proportional to 230,264 and 496,812 is: 1,071,909.47
Step by Step Solution
- Step 1: Write the proportion equation
230,264 : 496,812 = 496,812 : x - Step 2: Convert to fraction form
230,264/496,812 = 496,812/x - Step 3: Cross multiply
230,264x = 496,812 × 496,812 - Step 4: Simplify right side
230,264x = 246,822,163,344 - Step 5: Solve for x
x = 246,822,163,344/230,264 - Step 6: Final answer
x = 1,071,909.47
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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.