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Finding the Third Proportional to 327,460 and 489,168

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Solution

The third proportional to 327,460 and 489,168 is: 730,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,460 : 489,168 = 489,168 : x
  2. Step 2: Convert to fraction form
    327,460/489,168 = 489,168/x
  3. Step 3: Cross multiply
    327,460x = 489,168 × 489,168
  4. Step 4: Simplify right side
    327,460x = 239,285,332,224
  5. Step 5: Solve for x
    x = 239,285,332,224/327,460
  6. Step 6: Final answer
    x = 730,731.49

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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.