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Finding the Third Proportional to 283.13 and 596.44

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Solution

The third proportional to 283.13 and 596.44 is: 1,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.13 : 596.44 = 596.44 : x
  2. Step 2: Convert to fraction form
    283.13/596.44 = 596.44/x
  3. Step 3: Cross multiply
    283.13x = 596.44 × 596.44
  4. Step 4: Simplify right side
    283.13x = 355,737.69
  5. Step 5: Solve for x
    x = 355,737.69/283.13
  6. Step 6: Final answer
    x = 1,256.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.