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Finding the Third Proportional to 599.34 and 1,399.36

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Solution

The third proportional to 599.34 and 1,399.36 is: 3,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.34 : 1,399.36 = 1,399.36 : x
  2. Step 2: Convert to fraction form
    599.34/1,399.36 = 1,399.36/x
  3. Step 3: Cross multiply
    599.34x = 1,399.36 × 1,399.36
  4. Step 4: Simplify right side
    599.34x = 1,958,206.66
  5. Step 5: Solve for x
    x = 1,958,206.66/599.34
  6. Step 6: Final answer
    x = 3,267.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.