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Finding the Third Proportional to 404.37 and 635.98

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Solution

The third proportional to 404.37 and 635.98 is: 1,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.37 : 635.98 = 635.98 : x
  2. Step 2: Convert to fraction form
    404.37/635.98 = 635.98/x
  3. Step 3: Cross multiply
    404.37x = 635.98 × 635.98
  4. Step 4: Simplify right side
    404.37x = 404,466.19
  5. Step 5: Solve for x
    x = 404,466.19/404.37
  6. Step 6: Final answer
    x = 1,000.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.