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Finding the Third Proportional to 294.47 and 440.79

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Solution

The third proportional to 294.47 and 440.79 is: 659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.47 : 440.79 = 440.79 : x
  2. Step 2: Convert to fraction form
    294.47/440.79 = 440.79/x
  3. Step 3: Cross multiply
    294.47x = 440.79 × 440.79
  4. Step 4: Simplify right side
    294.47x = 194,295.00
  5. Step 5: Solve for x
    x = 194,295.00/294.47
  6. Step 6: Final answer
    x = 659.82

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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.