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Finding the Third Proportional to 327,450 and 489,152

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Solution

The third proportional to 327,450 and 489,152 is: 730,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,450 : 489,152 = 489,152 : x
  2. Step 2: Convert to fraction form
    327,450/489,152 = 489,152/x
  3. Step 3: Cross multiply
    327,450x = 489,152 × 489,152
  4. Step 4: Simplify right side
    327,450x = 239,269,679,104
  5. Step 5: Solve for x
    x = 239,269,679,104/327,450
  6. Step 6: Final answer
    x = 730,706.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.