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Finding the Third Proportional to 767.81 and 1,102.78

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Solution

The third proportional to 767.81 and 1,102.78 is: 1,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.81 : 1,102.78 = 1,102.78 : x
  2. Step 2: Convert to fraction form
    767.81/1,102.78 = 1,102.78/x
  3. Step 3: Cross multiply
    767.81x = 1,102.78 × 1,102.78
  4. Step 4: Simplify right side
    767.81x = 1,216,126.49
  5. Step 5: Solve for x
    x = 1,216,126.49/767.81
  6. Step 6: Final answer
    x = 1,583.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.