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Finding the Third Proportional to 443.25 and 970.88

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Solution

The third proportional to 443.25 and 970.88 is: 2,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.25 : 970.88 = 970.88 : x
  2. Step 2: Convert to fraction form
    443.25/970.88 = 970.88/x
  3. Step 3: Cross multiply
    443.25x = 970.88 × 970.88
  4. Step 4: Simplify right side
    443.25x = 942,598.27
  5. Step 5: Solve for x
    x = 942,598.27/443.25
  6. Step 6: Final answer
    x = 2,126.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.