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Finding the Third Proportional to 596.11 and 1,304.02

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Solution

The third proportional to 596.11 and 1,304.02 is: 2,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.11 : 1,304.02 = 1,304.02 : x
  2. Step 2: Convert to fraction form
    596.11/1,304.02 = 1,304.02/x
  3. Step 3: Cross multiply
    596.11x = 1,304.02 × 1,304.02
  4. Step 4: Simplify right side
    596.11x = 1,700,456.75
  5. Step 5: Solve for x
    x = 1,700,456.75/596.11
  6. Step 6: Final answer
    x = 2,852.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.