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Finding the Third Proportional to 511.41 and 1,059.52

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Solution

The third proportional to 511.41 and 1,059.52 is: 2,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.41 : 1,059.52 = 1,059.52 : x
  2. Step 2: Convert to fraction form
    511.41/1,059.52 = 1,059.52/x
  3. Step 3: Cross multiply
    511.41x = 1,059.52 × 1,059.52
  4. Step 4: Simplify right side
    511.41x = 1,122,573.36
  5. Step 5: Solve for x
    x = 1,122,573.36/511.41
  6. Step 6: Final answer
    x = 2,195.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.