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Finding the Third Proportional to 392,919 and 837,357

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Solution

The third proportional to 392,919 and 837,357 is: 1,784,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,919 : 837,357 = 837,357 : x
  2. Step 2: Convert to fraction form
    392,919/837,357 = 837,357/x
  3. Step 3: Cross multiply
    392,919x = 837,357 × 837,357
  4. Step 4: Simplify right side
    392,919x = 701,166,745,449
  5. Step 5: Solve for x
    x = 701,166,745,449/392,919
  6. Step 6: Final answer
    x = 1,784,507.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.