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Finding the Third Proportional to 342,372 and 763,422

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Solution

The third proportional to 342,372 and 763,422 is: 1,702,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,372 : 763,422 = 763,422 : x
  2. Step 2: Convert to fraction form
    342,372/763,422 = 763,422/x
  3. Step 3: Cross multiply
    342,372x = 763,422 × 763,422
  4. Step 4: Simplify right side
    342,372x = 582,813,150,084
  5. Step 5: Solve for x
    x = 582,813,150,084/342,372
  6. Step 6: Final answer
    x = 1,702,280.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.