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Finding the Third Proportional to 305.06 and 489.56

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Solution

The third proportional to 305.06 and 489.56 is: 785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.06 : 489.56 = 489.56 : x
  2. Step 2: Convert to fraction form
    305.06/489.56 = 489.56/x
  3. Step 3: Cross multiply
    305.06x = 489.56 × 489.56
  4. Step 4: Simplify right side
    305.06x = 239,671.44
  5. Step 5: Solve for x
    x = 239,671.44/305.06
  6. Step 6: Final answer
    x = 785.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.