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Finding the Third Proportional to 289 and 439.50

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Solution

The third proportional to 289 and 439.50 is: 668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 439.50 = 439.50 : x
  2. Step 2: Convert to fraction form
    289/439.50 = 439.50/x
  3. Step 3: Cross multiply
    289x = 439.50 × 439.50
  4. Step 4: Simplify right side
    289x = 193,160.25
  5. Step 5: Solve for x
    x = 193,160.25/289
  6. Step 6: Final answer
    x = 668.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.