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Finding the Third Proportional to 412.31 and 600.75

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Solution

The third proportional to 412.31 and 600.75 is: 875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 600.75 = 600.75 : x
  2. Step 2: Convert to fraction form
    412.31/600.75 = 600.75/x
  3. Step 3: Cross multiply
    412.31x = 600.75 × 600.75
  4. Step 4: Simplify right side
    412.31x = 360,900.56
  5. Step 5: Solve for x
    x = 360,900.56/412.31
  6. Step 6: Final answer
    x = 875.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.