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Finding the Third Proportional to 250,596 and 383,832

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Solution

The third proportional to 250,596 and 383,832 is: 587,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,596 : 383,832 = 383,832 : x
  2. Step 2: Convert to fraction form
    250,596/383,832 = 383,832/x
  3. Step 3: Cross multiply
    250,596x = 383,832 × 383,832
  4. Step 4: Simplify right side
    250,596x = 147,327,004,224
  5. Step 5: Solve for x
    x = 147,327,004,224/250,596
  6. Step 6: Final answer
    x = 587,906.45

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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.