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Finding the Third Proportional to 312.38 and 454.94

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Solution

The third proportional to 312.38 and 454.94 is: 662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.38 : 454.94 = 454.94 : x
  2. Step 2: Convert to fraction form
    312.38/454.94 = 454.94/x
  3. Step 3: Cross multiply
    312.38x = 454.94 × 454.94
  4. Step 4: Simplify right side
    312.38x = 206,968.13
  5. Step 5: Solve for x
    x = 206,968.13/312.38
  6. Step 6: Final answer
    x = 662.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.