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Finding the Third Proportional to 445.08 and 492.54

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Solution

The third proportional to 445.08 and 492.54 is: 545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.08 : 492.54 = 492.54 : x
  2. Step 2: Convert to fraction form
    445.08/492.54 = 492.54/x
  3. Step 3: Cross multiply
    445.08x = 492.54 × 492.54
  4. Step 4: Simplify right side
    445.08x = 242,594.73
  5. Step 5: Solve for x
    x = 242,594.73/445.08
  6. Step 6: Final answer
    x = 545.06

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.