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Finding the Third Proportional to 412.03 and 732.73

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Solution

The third proportional to 412.03 and 732.73 is: 1,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.03 : 732.73 = 732.73 : x
  2. Step 2: Convert to fraction form
    412.03/732.73 = 732.73/x
  3. Step 3: Cross multiply
    412.03x = 732.73 × 732.73
  4. Step 4: Simplify right side
    412.03x = 536,888.22
  5. Step 5: Solve for x
    x = 536,888.22/412.03
  6. Step 6: Final answer
    x = 1,303.03

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.