Finding the Third Proportional to 459,082 and 701,774
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Solution
The third proportional to 459,082 and 701,774 is: 1,072,764.23
Step by Step Solution
- Step 1: Write the proportion equation
459,082 : 701,774 = 701,774 : x - Step 2: Convert to fraction form
459,082/701,774 = 701,774/x - Step 3: Cross multiply
459,082x = 701,774 × 701,774 - Step 4: Simplify right side
459,082x = 492,486,747,076 - Step 5: Solve for x
x = 492,486,747,076/459,082 - Step 6: Final answer
x = 1,072,764.23
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.