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Finding the Third Proportional to 446.34 and 944.16

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Solution

The third proportional to 446.34 and 944.16 is: 1,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.34 : 944.16 = 944.16 : x
  2. Step 2: Convert to fraction form
    446.34/944.16 = 944.16/x
  3. Step 3: Cross multiply
    446.34x = 944.16 × 944.16
  4. Step 4: Simplify right side
    446.34x = 891,431.02
  5. Step 5: Solve for x
    x = 891,431.02/446.34
  6. Step 6: Final answer
    x = 1,997.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.