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Finding the Third Proportional to 282,366 and 395,766

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Solution

The third proportional to 282,366 and 395,766 is: 554,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,366 : 395,766 = 395,766 : x
  2. Step 2: Convert to fraction form
    282,366/395,766 = 395,766/x
  3. Step 3: Cross multiply
    282,366x = 395,766 × 395,766
  4. Step 4: Simplify right side
    282,366x = 156,630,726,756
  5. Step 5: Solve for x
    x = 156,630,726,756/282,366
  6. Step 6: Final answer
    x = 554,708.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.