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Finding the Third Proportional to 513 and 1,106.44

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Solution

The third proportional to 513 and 1,106.44 is: 2,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 1,106.44 = 1,106.44 : x
  2. Step 2: Convert to fraction form
    513/1,106.44 = 1,106.44/x
  3. Step 3: Cross multiply
    513x = 1,106.44 × 1,106.44
  4. Step 4: Simplify right side
    513x = 1,224,203.94
  5. Step 5: Solve for x
    x = 1,224,203.94/513
  6. Step 6: Final answer
    x = 2,386.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.