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Finding the Third Proportional to 844.03 and 1,237.55

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Solution

The third proportional to 844.03 and 1,237.55 is: 1,814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.03 : 1,237.55 = 1,237.55 : x
  2. Step 2: Convert to fraction form
    844.03/1,237.55 = 1,237.55/x
  3. Step 3: Cross multiply
    844.03x = 1,237.55 × 1,237.55
  4. Step 4: Simplify right side
    844.03x = 1,531,522.27
  5. Step 5: Solve for x
    x = 1,531,522.27/844.03
  6. Step 6: Final answer
    x = 1,814.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.