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Finding the Third Proportional to 401.20 and 596.11

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Solution

The third proportional to 401.20 and 596.11 is: 885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.20 : 596.11 = 596.11 : x
  2. Step 2: Convert to fraction form
    401.20/596.11 = 596.11/x
  3. Step 3: Cross multiply
    401.20x = 596.11 × 596.11
  4. Step 4: Simplify right side
    401.20x = 355,346.39
  5. Step 5: Solve for x
    x = 355,346.39/401.20
  6. Step 6: Final answer
    x = 885.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.