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Finding the Third Proportional to 511.50 and 778.25

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Solution

The third proportional to 511.50 and 778.25 is: 1,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 778.25 = 778.25 : x
  2. Step 2: Convert to fraction form
    511.50/778.25 = 778.25/x
  3. Step 3: Cross multiply
    511.50x = 778.25 × 778.25
  4. Step 4: Simplify right side
    511.50x = 605,673.06
  5. Step 5: Solve for x
    x = 605,673.06/511.50
  6. Step 6: Final answer
    x = 1,184.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.