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Finding the Third Proportional to 423.35 and 1,019.67

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Solution

The third proportional to 423.35 and 1,019.67 is: 2,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.35 : 1,019.67 = 1,019.67 : x
  2. Step 2: Convert to fraction form
    423.35/1,019.67 = 1,019.67/x
  3. Step 3: Cross multiply
    423.35x = 1,019.67 × 1,019.67
  4. Step 4: Simplify right side
    423.35x = 1,039,730.73
  5. Step 5: Solve for x
    x = 1,039,730.73/423.35
  6. Step 6: Final answer
    x = 2,455.95

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.