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Finding the Third Proportional to 551.38 and 749.38

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Solution

The third proportional to 551.38 and 749.38 is: 1,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.38 : 749.38 = 749.38 : x
  2. Step 2: Convert to fraction form
    551.38/749.38 = 749.38/x
  3. Step 3: Cross multiply
    551.38x = 749.38 × 749.38
  4. Step 4: Simplify right side
    551.38x = 561,562.89
  5. Step 5: Solve for x
    x = 561,562.89/551.38
  6. Step 6: Final answer
    x = 1,018.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.