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Finding the Third Proportional to 446.38 and 675.94

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Solution

The third proportional to 446.38 and 675.94 is: 1,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.38 : 675.94 = 675.94 : x
  2. Step 2: Convert to fraction form
    446.38/675.94 = 675.94/x
  3. Step 3: Cross multiply
    446.38x = 675.94 × 675.94
  4. Step 4: Simplify right side
    446.38x = 456,891.50
  5. Step 5: Solve for x
    x = 456,891.50/446.38
  6. Step 6: Final answer
    x = 1,023.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.