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Finding the Third Proportional to 309.94 and 453.84

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Solution

The third proportional to 309.94 and 453.84 is: 664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.94 : 453.84 = 453.84 : x
  2. Step 2: Convert to fraction form
    309.94/453.84 = 453.84/x
  3. Step 3: Cross multiply
    309.94x = 453.84 × 453.84
  4. Step 4: Simplify right side
    309.94x = 205,974.15
  5. Step 5: Solve for x
    x = 205,974.15/309.94
  6. Step 6: Final answer
    x = 664.57

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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.