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Finding the Third Proportional to 492.05 and 1,069.52

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Solution

The third proportional to 492.05 and 1,069.52 is: 2,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.05 : 1,069.52 = 1,069.52 : x
  2. Step 2: Convert to fraction form
    492.05/1,069.52 = 1,069.52/x
  3. Step 3: Cross multiply
    492.05x = 1,069.52 × 1,069.52
  4. Step 4: Simplify right side
    492.05x = 1,143,880.38
  5. Step 5: Solve for x
    x = 1,143,880.38/492.05
  6. Step 6: Final answer
    x = 2,324.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.