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Finding the Third Proportional to 999.21 and 1,498.71

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Solution

The third proportional to 999.21 and 1,498.71 is: 2,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.21 : 1,498.71 = 1,498.71 : x
  2. Step 2: Convert to fraction form
    999.21/1,498.71 = 1,498.71/x
  3. Step 3: Cross multiply
    999.21x = 1,498.71 × 1,498.71
  4. Step 4: Simplify right side
    999.21x = 2,246,134.47
  5. Step 5: Solve for x
    x = 2,246,134.47/999.21
  6. Step 6: Final answer
    x = 2,247.91

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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.