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Finding the Third Proportional to 231,783 and 481,330

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Solution

The third proportional to 231,783 and 481,330 is: 999,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,783 : 481,330 = 481,330 : x
  2. Step 2: Convert to fraction form
    231,783/481,330 = 481,330/x
  3. Step 3: Cross multiply
    231,783x = 481,330 × 481,330
  4. Step 4: Simplify right side
    231,783x = 231,678,568,900
  5. Step 5: Solve for x
    x = 231,678,568,900/231,783
  6. Step 6: Final answer
    x = 999,549.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.