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Finding the Third Proportional to 411 and 756.75

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Solution

The third proportional to 411 and 756.75 is: 1,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 756.75 = 756.75 : x
  2. Step 2: Convert to fraction form
    411/756.75 = 756.75/x
  3. Step 3: Cross multiply
    411x = 756.75 × 756.75
  4. Step 4: Simplify right side
    411x = 572,670.56
  5. Step 5: Solve for x
    x = 572,670.56/411
  6. Step 6: Final answer
    x = 1,393.36

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.