Finding the Third Proportional to 209,304 and 459,432
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Solution
The third proportional to 209,304 and 459,432 is: 1,008,474.58
Step by Step Solution
- Step 1: Write the proportion equation
209,304 : 459,432 = 459,432 : x - Step 2: Convert to fraction form
209,304/459,432 = 459,432/x - Step 3: Cross multiply
209,304x = 459,432 × 459,432 - Step 4: Simplify right side
209,304x = 211,077,762,624 - Step 5: Solve for x
x = 211,077,762,624/209,304 - Step 6: Final answer
x = 1,008,474.58
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.