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Finding the Third Proportional to 269,793 and 395,940

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Solution

The third proportional to 269,793 and 395,940 is: 581,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,793 : 395,940 = 395,940 : x
  2. Step 2: Convert to fraction form
    269,793/395,940 = 395,940/x
  3. Step 3: Cross multiply
    269,793x = 395,940 × 395,940
  4. Step 4: Simplify right side
    269,793x = 156,768,483,600
  5. Step 5: Solve for x
    x = 156,768,483,600/269,793
  6. Step 6: Final answer
    x = 581,069.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.