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Finding the Third Proportional to 563.91 and 1,205.44

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Solution

The third proportional to 563.91 and 1,205.44 is: 2,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.91 : 1,205.44 = 1,205.44 : x
  2. Step 2: Convert to fraction form
    563.91/1,205.44 = 1,205.44/x
  3. Step 3: Cross multiply
    563.91x = 1,205.44 × 1,205.44
  4. Step 4: Simplify right side
    563.91x = 1,453,079.57
  5. Step 5: Solve for x
    x = 1,453,079.57/563.91
  6. Step 6: Final answer
    x = 2,576.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.