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Finding the Third Proportional to 192,605 and 464,002

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Solution

The third proportional to 192,605 and 464,002 is: 1,117,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,605 : 464,002 = 464,002 : x
  2. Step 2: Convert to fraction form
    192,605/464,002 = 464,002/x
  3. Step 3: Cross multiply
    192,605x = 464,002 × 464,002
  4. Step 4: Simplify right side
    192,605x = 215,297,856,004
  5. Step 5: Solve for x
    x = 215,297,856,004/192,605
  6. Step 6: Final answer
    x = 1,117,820.70

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.