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Finding the Third Proportional to 466.13 and 1,023.38

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Solution

The third proportional to 466.13 and 1,023.38 is: 2,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.13 : 1,023.38 = 1,023.38 : x
  2. Step 2: Convert to fraction form
    466.13/1,023.38 = 1,023.38/x
  3. Step 3: Cross multiply
    466.13x = 1,023.38 × 1,023.38
  4. Step 4: Simplify right side
    466.13x = 1,047,296.39
  5. Step 5: Solve for x
    x = 1,047,296.39/466.13
  6. Step 6: Final answer
    x = 2,246.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.