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Finding the Third Proportional to 880.99 and 1,819.65

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Solution

The third proportional to 880.99 and 1,819.65 is: 3,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.99 : 1,819.65 = 1,819.65 : x
  2. Step 2: Convert to fraction form
    880.99/1,819.65 = 1,819.65/x
  3. Step 3: Cross multiply
    880.99x = 1,819.65 × 1,819.65
  4. Step 4: Simplify right side
    880.99x = 3,311,134.65
  5. Step 5: Solve for x
    x = 3,311,134.65/880.99
  6. Step 6: Final answer
    x = 3,758.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.