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Finding the Third Proportional to 227,724 and 489,144

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Solution

The third proportional to 227,724 and 489,144 is: 1,050,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,724 : 489,144 = 489,144 : x
  2. Step 2: Convert to fraction form
    227,724/489,144 = 489,144/x
  3. Step 3: Cross multiply
    227,724x = 489,144 × 489,144
  4. Step 4: Simplify right side
    227,724x = 239,261,852,736
  5. Step 5: Solve for x
    x = 239,261,852,736/227,724
  6. Step 6: Final answer
    x = 1,050,665.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.