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Finding the Third Proportional to 298.75 and 479.50

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Solution

The third proportional to 298.75 and 479.50 is: 769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.75 : 479.50 = 479.50 : x
  2. Step 2: Convert to fraction form
    298.75/479.50 = 479.50/x
  3. Step 3: Cross multiply
    298.75x = 479.50 × 479.50
  4. Step 4: Simplify right side
    298.75x = 229,920.25
  5. Step 5: Solve for x
    x = 229,920.25/298.75
  6. Step 6: Final answer
    x = 769.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.