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Finding the Third Proportional to 250,568 and 383,792

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Solution

The third proportional to 250,568 and 383,792 is: 587,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,568 : 383,792 = 383,792 : x
  2. Step 2: Convert to fraction form
    250,568/383,792 = 383,792/x
  3. Step 3: Cross multiply
    250,568x = 383,792 × 383,792
  4. Step 4: Simplify right side
    250,568x = 147,296,299,264
  5. Step 5: Solve for x
    x = 147,296,299,264/250,568
  6. Step 6: Final answer
    x = 587,849.60

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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.