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Finding the Third Proportional to 395,640 and 584,766

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Solution

The third proportional to 395,640 and 584,766 is: 864,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,640 : 584,766 = 584,766 : x
  2. Step 2: Convert to fraction form
    395,640/584,766 = 584,766/x
  3. Step 3: Cross multiply
    395,640x = 584,766 × 584,766
  4. Step 4: Simplify right side
    395,640x = 341,951,274,756
  5. Step 5: Solve for x
    x = 341,951,274,756/395,640
  6. Step 6: Final answer
    x = 864,299.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.