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Finding the Third Proportional to 491.75 and 767.75

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Solution

The third proportional to 491.75 and 767.75 is: 1,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.75 : 767.75 = 767.75 : x
  2. Step 2: Convert to fraction form
    491.75/767.75 = 767.75/x
  3. Step 3: Cross multiply
    491.75x = 767.75 × 767.75
  4. Step 4: Simplify right side
    491.75x = 589,440.06
  5. Step 5: Solve for x
    x = 589,440.06/491.75
  6. Step 6: Final answer
    x = 1,198.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.