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Finding the Third Proportional to 446.06 and 669.66

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Solution

The third proportional to 446.06 and 669.66 is: 1,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.06 : 669.66 = 669.66 : x
  2. Step 2: Convert to fraction form
    446.06/669.66 = 669.66/x
  3. Step 3: Cross multiply
    446.06x = 669.66 × 669.66
  4. Step 4: Simplify right side
    446.06x = 448,439.49
  5. Step 5: Solve for x
    x = 448,439.49/446.06
  6. Step 6: Final answer
    x = 1,005.33

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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.