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Finding the Third Proportional to 511.13 and 1,110.56

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Solution

The third proportional to 511.13 and 1,110.56 is: 2,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.13 : 1,110.56 = 1,110.56 : x
  2. Step 2: Convert to fraction form
    511.13/1,110.56 = 1,110.56/x
  3. Step 3: Cross multiply
    511.13x = 1,110.56 × 1,110.56
  4. Step 4: Simplify right side
    511.13x = 1,233,349.07
  5. Step 5: Solve for x
    x = 1,233,349.07/511.13
  6. Step 6: Final answer
    x = 2,413.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.