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Finding the Third Proportional to 676.81 and 1,076.81

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Solution

The third proportional to 676.81 and 1,076.81 is: 1,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.81 : 1,076.81 = 1,076.81 : x
  2. Step 2: Convert to fraction form
    676.81/1,076.81 = 1,076.81/x
  3. Step 3: Cross multiply
    676.81x = 1,076.81 × 1,076.81
  4. Step 4: Simplify right side
    676.81x = 1,159,525.16
  5. Step 5: Solve for x
    x = 1,159,525.16/676.81
  6. Step 6: Final answer
    x = 1,713.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.