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Finding the Third Proportional to 392,289 and 838,524

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Solution

The third proportional to 392,289 and 838,524 is: 1,792,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,289 : 838,524 = 838,524 : x
  2. Step 2: Convert to fraction form
    392,289/838,524 = 838,524/x
  3. Step 3: Cross multiply
    392,289x = 838,524 × 838,524
  4. Step 4: Simplify right side
    392,289x = 703,122,498,576
  5. Step 5: Solve for x
    x = 703,122,498,576/392,289
  6. Step 6: Final answer
    x = 1,792,358.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.