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Finding the Third Proportional to 222,951 and 489,984

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Solution

The third proportional to 222,951 and 489,984 is: 1,076,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,951 : 489,984 = 489,984 : x
  2. Step 2: Convert to fraction form
    222,951/489,984 = 489,984/x
  3. Step 3: Cross multiply
    222,951x = 489,984 × 489,984
  4. Step 4: Simplify right side
    222,951x = 240,084,320,256
  5. Step 5: Solve for x
    x = 240,084,320,256/222,951
  6. Step 6: Final answer
    x = 1,076,847.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.