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Finding the Third Proportional to 288.56 and 415.76

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Solution

The third proportional to 288.56 and 415.76 is: 599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 415.76 = 415.76 : x
  2. Step 2: Convert to fraction form
    288.56/415.76 = 415.76/x
  3. Step 3: Cross multiply
    288.56x = 415.76 × 415.76
  4. Step 4: Simplify right side
    288.56x = 172,854.56
  5. Step 5: Solve for x
    x = 172,854.56/288.56
  6. Step 6: Final answer
    x = 599.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.