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Finding the Third Proportional to 294.61 and 440.93

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Solution

The third proportional to 294.61 and 440.93 is: 659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.61 : 440.93 = 440.93 : x
  2. Step 2: Convert to fraction form
    294.61/440.93 = 440.93/x
  3. Step 3: Cross multiply
    294.61x = 440.93 × 440.93
  4. Step 4: Simplify right side
    294.61x = 194,418.99
  5. Step 5: Solve for x
    x = 194,418.99/294.61
  6. Step 6: Final answer
    x = 659.92

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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.