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Finding the Third Proportional to 443.94 and 968.88

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Solution

The third proportional to 443.94 and 968.88 is: 2,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.94 : 968.88 = 968.88 : x
  2. Step 2: Convert to fraction form
    443.94/968.88 = 968.88/x
  3. Step 3: Cross multiply
    443.94x = 968.88 × 968.88
  4. Step 4: Simplify right side
    443.94x = 938,718.77
  5. Step 5: Solve for x
    x = 938,718.77/443.94
  6. Step 6: Final answer
    x = 2,114.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.