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Finding the Third Proportional to 455.06 and 978.38

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Solution

The third proportional to 455.06 and 978.38 is: 2,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 978.38 = 978.38 : x
  2. Step 2: Convert to fraction form
    455.06/978.38 = 978.38/x
  3. Step 3: Cross multiply
    455.06x = 978.38 × 978.38
  4. Step 4: Simplify right side
    455.06x = 957,217.64
  5. Step 5: Solve for x
    x = 957,217.64/455.06
  6. Step 6: Final answer
    x = 2,103.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.