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Finding the Third Proportional to 278.94 and 417.97

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Solution

The third proportional to 278.94 and 417.97 is: 626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.94 : 417.97 = 417.97 : x
  2. Step 2: Convert to fraction form
    278.94/417.97 = 417.97/x
  3. Step 3: Cross multiply
    278.94x = 417.97 × 417.97
  4. Step 4: Simplify right side
    278.94x = 174,697.88
  5. Step 5: Solve for x
    x = 174,697.88/278.94
  6. Step 6: Final answer
    x = 626.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.