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Finding the Third Proportional to 653,238 and 979,857

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Solution

The third proportional to 653,238 and 979,857 is: 1,469,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,238 : 979,857 = 979,857 : x
  2. Step 2: Convert to fraction form
    653,238/979,857 = 979,857/x
  3. Step 3: Cross multiply
    653,238x = 979,857 × 979,857
  4. Step 4: Simplify right side
    653,238x = 960,119,740,449
  5. Step 5: Solve for x
    x = 960,119,740,449/653,238
  6. Step 6: Final answer
    x = 1,469,785.50

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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.