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Finding the Third Proportional to 361,794 and 531,849

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Solution

The third proportional to 361,794 and 531,849 is: 781,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,794 : 531,849 = 531,849 : x
  2. Step 2: Convert to fraction form
    361,794/531,849 = 531,849/x
  3. Step 3: Cross multiply
    361,794x = 531,849 × 531,849
  4. Step 4: Simplify right side
    361,794x = 282,863,358,801
  5. Step 5: Solve for x
    x = 282,863,358,801/361,794
  6. Step 6: Final answer
    x = 781,835.41

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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.