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Finding the Third Proportional to 221,640 and 489,936

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Solution

The third proportional to 221,640 and 489,936 is: 1,083,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,640 : 489,936 = 489,936 : x
  2. Step 2: Convert to fraction form
    221,640/489,936 = 489,936/x
  3. Step 3: Cross multiply
    221,640x = 489,936 × 489,936
  4. Step 4: Simplify right side
    221,640x = 240,037,284,096
  5. Step 5: Solve for x
    x = 240,037,284,096/221,640
  6. Step 6: Final answer
    x = 1,083,005.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.