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Finding the Third Proportional to 311,232 and 494,064

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Solution

The third proportional to 311,232 and 494,064 is: 784,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,232 : 494,064 = 494,064 : x
  2. Step 2: Convert to fraction form
    311,232/494,064 = 494,064/x
  3. Step 3: Cross multiply
    311,232x = 494,064 × 494,064
  4. Step 4: Simplify right side
    311,232x = 244,099,236,096
  5. Step 5: Solve for x
    x = 244,099,236,096/311,232
  6. Step 6: Final answer
    x = 784,299.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.