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Finding the Third Proportional to 335,340 and 523,422

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Solution

The third proportional to 335,340 and 523,422 is: 816,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,340 : 523,422 = 523,422 : x
  2. Step 2: Convert to fraction form
    335,340/523,422 = 523,422/x
  3. Step 3: Cross multiply
    335,340x = 523,422 × 523,422
  4. Step 4: Simplify right side
    335,340x = 273,970,590,084
  5. Step 5: Solve for x
    x = 273,970,590,084/335,340
  6. Step 6: Final answer
    x = 816,993.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.