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Finding the Third Proportional to 600.14 and 1,232.32

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Solution

The third proportional to 600.14 and 1,232.32 is: 2,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.14 : 1,232.32 = 1,232.32 : x
  2. Step 2: Convert to fraction form
    600.14/1,232.32 = 1,232.32/x
  3. Step 3: Cross multiply
    600.14x = 1,232.32 × 1,232.32
  4. Step 4: Simplify right side
    600.14x = 1,518,620.57
  5. Step 5: Solve for x
    x = 1,518,620.57/600.14
  6. Step 6: Final answer
    x = 2,530.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.