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Finding the Third Proportional to 250,600 and 383,838

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Solution

The third proportional to 250,600 and 383,838 is: 587,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,600 : 383,838 = 383,838 : x
  2. Step 2: Convert to fraction form
    250,600/383,838 = 383,838/x
  3. Step 3: Cross multiply
    250,600x = 383,838 × 383,838
  4. Step 4: Simplify right side
    250,600x = 147,331,610,244
  5. Step 5: Solve for x
    x = 147,331,610,244/250,600
  6. Step 6: Final answer
    x = 587,915.44

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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.