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Finding the Third Proportional to 498.23 and 1,021.36

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Solution

The third proportional to 498.23 and 1,021.36 is: 2,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.23 : 1,021.36 = 1,021.36 : x
  2. Step 2: Convert to fraction form
    498.23/1,021.36 = 1,021.36/x
  3. Step 3: Cross multiply
    498.23x = 1,021.36 × 1,021.36
  4. Step 4: Simplify right side
    498.23x = 1,043,174.97
  5. Step 5: Solve for x
    x = 1,043,174.97/498.23
  6. Step 6: Final answer
    x = 2,093.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.