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Finding the Third Proportional to 1,020.94 and 1,500.19

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Solution

The third proportional to 1,020.94 and 1,500.19 is: 2,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.94 : 1,500.19 = 1,500.19 : x
  2. Step 2: Convert to fraction form
    1,020.94/1,500.19 = 1,500.19/x
  3. Step 3: Cross multiply
    1,020.94x = 1,500.19 × 1,500.19
  4. Step 4: Simplify right side
    1,020.94x = 2,250,562.54
  5. Step 5: Solve for x
    x = 2,250,562.54/1,020.94
  6. Step 6: Final answer
    x = 2,204.41

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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.