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Finding the Third Proportional to 511.15 and 1,094.92

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Solution

The third proportional to 511.15 and 1,094.92 is: 2,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.15 : 1,094.92 = 1,094.92 : x
  2. Step 2: Convert to fraction form
    511.15/1,094.92 = 1,094.92/x
  3. Step 3: Cross multiply
    511.15x = 1,094.92 × 1,094.92
  4. Step 4: Simplify right side
    511.15x = 1,198,858.19
  5. Step 5: Solve for x
    x = 1,198,858.19/511.15
  6. Step 6: Final answer
    x = 2,345.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.