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Finding the Third Proportional to 437.20 and 951.33

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Solution

The third proportional to 437.20 and 951.33 is: 2,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.20 : 951.33 = 951.33 : x
  2. Step 2: Convert to fraction form
    437.20/951.33 = 951.33/x
  3. Step 3: Cross multiply
    437.20x = 951.33 × 951.33
  4. Step 4: Simplify right side
    437.20x = 905,025.20
  5. Step 5: Solve for x
    x = 905,025.20/437.20
  6. Step 6: Final answer
    x = 2,070.03

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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.