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Finding the Third Proportional to 236,468 and 489,766

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Solution

The third proportional to 236,468 and 489,766 is: 1,014,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,468 : 489,766 = 489,766 : x
  2. Step 2: Convert to fraction form
    236,468/489,766 = 489,766/x
  3. Step 3: Cross multiply
    236,468x = 489,766 × 489,766
  4. Step 4: Simplify right side
    236,468x = 239,870,734,756
  5. Step 5: Solve for x
    x = 239,870,734,756/236,468
  6. Step 6: Final answer
    x = 1,014,389.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.