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Finding the Third Proportional to 999.38 and 1,498.38

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Solution

The third proportional to 999.38 and 1,498.38 is: 2,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.38 : 1,498.38 = 1,498.38 : x
  2. Step 2: Convert to fraction form
    999.38/1,498.38 = 1,498.38/x
  3. Step 3: Cross multiply
    999.38x = 1,498.38 × 1,498.38
  4. Step 4: Simplify right side
    999.38x = 2,245,127.64
  5. Step 5: Solve for x
    x = 2,245,127.64/999.38
  6. Step 6: Final answer
    x = 2,246.53

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