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Finding the Third Proportional to 908.24 and 1,285.52

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Solution

The third proportional to 908.24 and 1,285.52 is: 1,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.24 : 1,285.52 = 1,285.52 : x
  2. Step 2: Convert to fraction form
    908.24/1,285.52 = 1,285.52/x
  3. Step 3: Cross multiply
    908.24x = 1,285.52 × 1,285.52
  4. Step 4: Simplify right side
    908.24x = 1,652,570.51
  5. Step 5: Solve for x
    x = 1,652,570.51/908.24
  6. Step 6: Final answer
    x = 1,819.52

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.