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Finding the Third Proportional to 404.06 and 836.06

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Solution

The third proportional to 404.06 and 836.06 is: 1,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.06 : 836.06 = 836.06 : x
  2. Step 2: Convert to fraction form
    404.06/836.06 = 836.06/x
  3. Step 3: Cross multiply
    404.06x = 836.06 × 836.06
  4. Step 4: Simplify right side
    404.06x = 699,000.50
  5. Step 5: Solve for x
    x = 699,000.50/404.06
  6. Step 6: Final answer
    x = 1,729.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.