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Finding the Third Proportional to 511.73 and 1,069.97

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Solution

The third proportional to 511.73 and 1,069.97 is: 2,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.73 : 1,069.97 = 1,069.97 : x
  2. Step 2: Convert to fraction form
    511.73/1,069.97 = 1,069.97/x
  3. Step 3: Cross multiply
    511.73x = 1,069.97 × 1,069.97
  4. Step 4: Simplify right side
    511.73x = 1,144,833.13
  5. Step 5: Solve for x
    x = 1,144,833.13/511.73
  6. Step 6: Final answer
    x = 2,237.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.