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Finding the Third Proportional to 596.11 and 1,283.34

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Solution

The third proportional to 596.11 and 1,283.34 is: 2,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.11 : 1,283.34 = 1,283.34 : x
  2. Step 2: Convert to fraction form
    596.11/1,283.34 = 1,283.34/x
  3. Step 3: Cross multiply
    596.11x = 1,283.34 × 1,283.34
  4. Step 4: Simplify right side
    596.11x = 1,646,971.18
  5. Step 5: Solve for x
    x = 1,646,971.18/596.11
  6. Step 6: Final answer
    x = 2,762.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.