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Finding the Third Proportional to 340,864 and 504,734

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Solution

The third proportional to 340,864 and 504,734 is: 747,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,864 : 504,734 = 504,734 : x
  2. Step 2: Convert to fraction form
    340,864/504,734 = 504,734/x
  3. Step 3: Cross multiply
    340,864x = 504,734 × 504,734
  4. Step 4: Simplify right side
    340,864x = 254,756,410,756
  5. Step 5: Solve for x
    x = 254,756,410,756/340,864
  6. Step 6: Final answer
    x = 747,384.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.