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Finding the Third Proportional to 334.41 and 489.23

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Solution

The third proportional to 334.41 and 489.23 is: 715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.41 : 489.23 = 489.23 : x
  2. Step 2: Convert to fraction form
    334.41/489.23 = 489.23/x
  3. Step 3: Cross multiply
    334.41x = 489.23 × 489.23
  4. Step 4: Simplify right side
    334.41x = 239,350.27
  5. Step 5: Solve for x
    x = 239,350.27/334.41
  6. Step 6: Final answer
    x = 715.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.