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Finding the Third Proportional to 994.45 and 1,491.47

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Solution

The third proportional to 994.45 and 1,491.47 is: 2,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.45 : 1,491.47 = 1,491.47 : x
  2. Step 2: Convert to fraction form
    994.45/1,491.47 = 1,491.47/x
  3. Step 3: Cross multiply
    994.45x = 1,491.47 × 1,491.47
  4. Step 4: Simplify right side
    994.45x = 2,224,479.03
  5. Step 5: Solve for x
    x = 2,224,479.03/994.45
  6. Step 6: Final answer
    x = 2,236.89

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Why These Related Problems?

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