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Finding the Third Proportional to 262,568 and 393,756

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Solution

The third proportional to 262,568 and 393,756 is: 590,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,568 : 393,756 = 393,756 : x
  2. Step 2: Convert to fraction form
    262,568/393,756 = 393,756/x
  3. Step 3: Cross multiply
    262,568x = 393,756 × 393,756
  4. Step 4: Simplify right side
    262,568x = 155,043,787,536
  5. Step 5: Solve for x
    x = 155,043,787,536/262,568
  6. Step 6: Final answer
    x = 590,490.04

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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.