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Finding the Third Proportional to 281,744 and 383,728

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Solution

The third proportional to 281,744 and 383,728 is: 522,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,744 : 383,728 = 383,728 : x
  2. Step 2: Convert to fraction form
    281,744/383,728 = 383,728/x
  3. Step 3: Cross multiply
    281,744x = 383,728 × 383,728
  4. Step 4: Simplify right side
    281,744x = 147,247,177,984
  5. Step 5: Solve for x
    x = 147,247,177,984/281,744
  6. Step 6: Final answer
    x = 522,627.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.