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Finding the Third Proportional to 513.56 and 1,048.92

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Solution

The third proportional to 513.56 and 1,048.92 is: 2,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.56 : 1,048.92 = 1,048.92 : x
  2. Step 2: Convert to fraction form
    513.56/1,048.92 = 1,048.92/x
  3. Step 3: Cross multiply
    513.56x = 1,048.92 × 1,048.92
  4. Step 4: Simplify right side
    513.56x = 1,100,237.10
  5. Step 5: Solve for x
    x = 1,100,237.10/513.56
  6. Step 6: Final answer
    x = 2,142.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.