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Finding the Third Proportional to 600.31 and 1,158.44

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Solution

The third proportional to 600.31 and 1,158.44 is: 2,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.31 : 1,158.44 = 1,158.44 : x
  2. Step 2: Convert to fraction form
    600.31/1,158.44 = 1,158.44/x
  3. Step 3: Cross multiply
    600.31x = 1,158.44 × 1,158.44
  4. Step 4: Simplify right side
    600.31x = 1,341,977.44
  5. Step 5: Solve for x
    x = 1,341,977.44/600.31
  6. Step 6: Final answer
    x = 2,235.46

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.