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Finding the Third Proportional to 365.21 and 764.06

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Solution

The third proportional to 365.21 and 764.06 is: 1,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.21 : 764.06 = 764.06 : x
  2. Step 2: Convert to fraction form
    365.21/764.06 = 764.06/x
  3. Step 3: Cross multiply
    365.21x = 764.06 × 764.06
  4. Step 4: Simplify right side
    365.21x = 583,790.38
  5. Step 5: Solve for x
    x = 583,790.38/365.21
  6. Step 6: Final answer
    x = 1,598.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.