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Finding the Third Proportional to 1,002.94 and 1,601.44

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Solution

The third proportional to 1,002.94 and 1,601.44 is: 2,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.94 : 1,601.44 = 1,601.44 : x
  2. Step 2: Convert to fraction form
    1,002.94/1,601.44 = 1,601.44/x
  3. Step 3: Cross multiply
    1,002.94x = 1,601.44 × 1,601.44
  4. Step 4: Simplify right side
    1,002.94x = 2,564,602.07
  5. Step 5: Solve for x
    x = 2,564,602.07/1,002.94
  6. Step 6: Final answer
    x = 2,557.09

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.