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Finding the Third Proportional to 408,286 and 612,837

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Solution

The third proportional to 408,286 and 612,837 is: 919,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,286 : 612,837 = 612,837 : x
  2. Step 2: Convert to fraction form
    408,286/612,837 = 612,837/x
  3. Step 3: Cross multiply
    408,286x = 612,837 × 612,837
  4. Step 4: Simplify right side
    408,286x = 375,569,188,569
  5. Step 5: Solve for x
    x = 375,569,188,569/408,286
  6. Step 6: Final answer
    x = 919,867.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.