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Finding the Third Proportional to 294.89 and 441.07

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Solution

The third proportional to 294.89 and 441.07 is: 659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.89 : 441.07 = 441.07 : x
  2. Step 2: Convert to fraction form
    294.89/441.07 = 441.07/x
  3. Step 3: Cross multiply
    294.89x = 441.07 × 441.07
  4. Step 4: Simplify right side
    294.89x = 194,543.02
  5. Step 5: Solve for x
    x = 194,543.02/294.89
  6. Step 6: Final answer
    x = 659.71

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Why These Related Problems?

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