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Finding the Third Proportional to 224,640 and 489,456

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Solution

The third proportional to 224,640 and 489,456 is: 1,066,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,640 : 489,456 = 489,456 : x
  2. Step 2: Convert to fraction form
    224,640/489,456 = 489,456/x
  3. Step 3: Cross multiply
    224,640x = 489,456 × 489,456
  4. Step 4: Simplify right side
    224,640x = 239,567,175,936
  5. Step 5: Solve for x
    x = 239,567,175,936/224,640
  6. Step 6: Final answer
    x = 1,066,449.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.