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Finding the Third Proportional to 219,571 and 489,628

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Solution

The third proportional to 219,571 and 489,628 is: 1,091,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,571 : 489,628 = 489,628 : x
  2. Step 2: Convert to fraction form
    219,571/489,628 = 489,628/x
  3. Step 3: Cross multiply
    219,571x = 489,628 × 489,628
  4. Step 4: Simplify right side
    219,571x = 239,735,578,384
  5. Step 5: Solve for x
    x = 239,735,578,384/219,571
  6. Step 6: Final answer
    x = 1,091,836.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.