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Finding the Third Proportional to 383,823 and 811,932

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Solution

The third proportional to 383,823 and 811,932 is: 1,717,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,823 : 811,932 = 811,932 : x
  2. Step 2: Convert to fraction form
    383,823/811,932 = 811,932/x
  3. Step 3: Cross multiply
    383,823x = 811,932 × 811,932
  4. Step 4: Simplify right side
    383,823x = 659,233,572,624
  5. Step 5: Solve for x
    x = 659,233,572,624/383,823
  6. Step 6: Final answer
    x = 1,717,545.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.