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Finding the Third Proportional to 1,022.06 and 1,529.44

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Solution

The third proportional to 1,022.06 and 1,529.44 is: 2,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.06 : 1,529.44 = 1,529.44 : x
  2. Step 2: Convert to fraction form
    1,022.06/1,529.44 = 1,529.44/x
  3. Step 3: Cross multiply
    1,022.06x = 1,529.44 × 1,529.44
  4. Step 4: Simplify right side
    1,022.06x = 2,339,179.07
  5. Step 5: Solve for x
    x = 2,339,179.07/1,022.06
  6. Step 6: Final answer
    x = 2,288.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.