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Finding the Third Proportional to 676.63 and 1,010.44

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Solution

The third proportional to 676.63 and 1,010.44 is: 1,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.63 : 1,010.44 = 1,010.44 : x
  2. Step 2: Convert to fraction form
    676.63/1,010.44 = 1,010.44/x
  3. Step 3: Cross multiply
    676.63x = 1,010.44 × 1,010.44
  4. Step 4: Simplify right side
    676.63x = 1,020,995.78
  5. Step 5: Solve for x
    x = 1,020,995.78/676.63
  6. Step 6: Final answer
    x = 1,508.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.