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Finding the Third Proportional to 298.94 and 448.71

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Solution

The third proportional to 298.94 and 448.71 is: 673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.94 : 448.71 = 448.71 : x
  2. Step 2: Convert to fraction form
    298.94/448.71 = 448.71/x
  3. Step 3: Cross multiply
    298.94x = 448.71 × 448.71
  4. Step 4: Simplify right side
    298.94x = 201,337.15
  5. Step 5: Solve for x
    x = 201,337.15/298.94
  6. Step 6: Final answer
    x = 673.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.