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Finding the Third Proportional to 250,638 and 383,895

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Solution

The third proportional to 250,638 and 383,895 is: 588,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,638 : 383,895 = 383,895 : x
  2. Step 2: Convert to fraction form
    250,638/383,895 = 383,895/x
  3. Step 3: Cross multiply
    250,638x = 383,895 × 383,895
  4. Step 4: Simplify right side
    250,638x = 147,375,371,025
  5. Step 5: Solve for x
    x = 147,375,371,025/250,638
  6. Step 6: Final answer
    x = 588,000.91

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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.