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Finding the Third Proportional to 262,914 and 393,918

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Solution

The third proportional to 262,914 and 393,918 is: 590,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,914 : 393,918 = 393,918 : x
  2. Step 2: Convert to fraction form
    262,914/393,918 = 393,918/x
  3. Step 3: Cross multiply
    262,914x = 393,918 × 393,918
  4. Step 4: Simplify right side
    262,914x = 155,171,390,724
  5. Step 5: Solve for x
    x = 155,171,390,724/262,914
  6. Step 6: Final answer
    x = 590,198.28

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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.