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Finding the Third Proportional to 257,538 and 398,766

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Solution

The third proportional to 257,538 and 398,766 is: 617,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,538 : 398,766 = 398,766 : x
  2. Step 2: Convert to fraction form
    257,538/398,766 = 398,766/x
  3. Step 3: Cross multiply
    257,538x = 398,766 × 398,766
  4. Step 4: Simplify right side
    257,538x = 159,014,322,756
  5. Step 5: Solve for x
    x = 159,014,322,756/257,538
  6. Step 6: Final answer
    x = 617,440.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.