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Finding the Third Proportional to 676.06 and 1,026.75

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Solution

The third proportional to 676.06 and 1,026.75 is: 1,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.06 : 1,026.75 = 1,026.75 : x
  2. Step 2: Convert to fraction form
    676.06/1,026.75 = 1,026.75/x
  3. Step 3: Cross multiply
    676.06x = 1,026.75 × 1,026.75
  4. Step 4: Simplify right side
    676.06x = 1,054,215.56
  5. Step 5: Solve for x
    x = 1,054,215.56/676.06
  6. Step 6: Final answer
    x = 1,559.35

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