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Finding the Third Proportional to 128,797 and 280,477

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Solution

The third proportional to 128,797 and 280,477 is: 610,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,797 : 280,477 = 280,477 : x
  2. Step 2: Convert to fraction form
    128,797/280,477 = 280,477/x
  3. Step 3: Cross multiply
    128,797x = 280,477 × 280,477
  4. Step 4: Simplify right side
    128,797x = 78,667,347,529
  5. Step 5: Solve for x
    x = 78,667,347,529/128,797
  6. Step 6: Final answer
    x = 610,785.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.