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Finding the Third Proportional to 278.86 and 441.91

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Solution

The third proportional to 278.86 and 441.91 is: 700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.86 : 441.91 = 441.91 : x
  2. Step 2: Convert to fraction form
    278.86/441.91 = 441.91/x
  3. Step 3: Cross multiply
    278.86x = 441.91 × 441.91
  4. Step 4: Simplify right side
    278.86x = 195,288.04
  5. Step 5: Solve for x
    x = 195,288.04/278.86
  6. Step 6: Final answer
    x = 700.31

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.