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Finding the Third Proportional to 999.25 and 1,488.63

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Solution

The third proportional to 999.25 and 1,488.63 is: 2,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.25 : 1,488.63 = 1,488.63 : x
  2. Step 2: Convert to fraction form
    999.25/1,488.63 = 1,488.63/x
  3. Step 3: Cross multiply
    999.25x = 1,488.63 × 1,488.63
  4. Step 4: Simplify right side
    999.25x = 2,216,004.39
  5. Step 5: Solve for x
    x = 2,216,004.39/999.25
  6. Step 6: Final answer
    x = 2,217.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.