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Finding the Third Proportional to 263,856 and 395,784

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Solution

The third proportional to 263,856 and 395,784 is: 593,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,856 : 395,784 = 395,784 : x
  2. Step 2: Convert to fraction form
    263,856/395,784 = 395,784/x
  3. Step 3: Cross multiply
    263,856x = 395,784 × 395,784
  4. Step 4: Simplify right side
    263,856x = 156,644,974,656
  5. Step 5: Solve for x
    x = 156,644,974,656/263,856
  6. Step 6: Final answer
    x = 593,676

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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.