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Finding the Third Proportional to 446.13 and 1,206.46

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Solution

The third proportional to 446.13 and 1,206.46 is: 3,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.13 : 1,206.46 = 1,206.46 : x
  2. Step 2: Convert to fraction form
    446.13/1,206.46 = 1,206.46/x
  3. Step 3: Cross multiply
    446.13x = 1,206.46 × 1,206.46
  4. Step 4: Simplify right side
    446.13x = 1,455,538.57
  5. Step 5: Solve for x
    x = 1,455,538.57/446.13
  6. Step 6: Final answer
    x = 3,262.57

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.