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Finding the Third Proportional to 405.28 and 600.75

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Solution

The third proportional to 405.28 and 600.75 is: 890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.28 : 600.75 = 600.75 : x
  2. Step 2: Convert to fraction form
    405.28/600.75 = 600.75/x
  3. Step 3: Cross multiply
    405.28x = 600.75 × 600.75
  4. Step 4: Simplify right side
    405.28x = 360,900.56
  5. Step 5: Solve for x
    x = 360,900.56/405.28
  6. Step 6: Final answer
    x = 890.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.