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Finding the Third Proportional to 288 and 408

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Solution

The third proportional to 288 and 408 is: 578

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 408 = 408 : x
  2. Step 2: Convert to fraction form
    288/408 = 408/x
  3. Step 3: Cross multiply
    288x = 408 × 408
  4. Step 4: Simplify right side
    288x = 166,464
  5. Step 5: Solve for x
    x = 166,464/288
  6. Step 6: Final answer
    x = 578

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.