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Finding the Third Proportional to 299.38 and 650.63

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Solution

The third proportional to 299.38 and 650.63 is: 1,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.38 : 650.63 = 650.63 : x
  2. Step 2: Convert to fraction form
    299.38/650.63 = 650.63/x
  3. Step 3: Cross multiply
    299.38x = 650.63 × 650.63
  4. Step 4: Simplify right side
    299.38x = 423,312.89
  5. Step 5: Solve for x
    x = 423,312.89/299.38
  6. Step 6: Final answer
    x = 1,413.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.