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Finding the Third Proportional to 599.13 and 1,303.73

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Solution

The third proportional to 599.13 and 1,303.73 is: 2,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.13 : 1,303.73 = 1,303.73 : x
  2. Step 2: Convert to fraction form
    599.13/1,303.73 = 1,303.73/x
  3. Step 3: Cross multiply
    599.13x = 1,303.73 × 1,303.73
  4. Step 4: Simplify right side
    599.13x = 1,699,723.32
  5. Step 5: Solve for x
    x = 1,699,723.32/599.13
  6. Step 6: Final answer
    x = 2,836.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.