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Finding the Third Proportional to 746.72 and 1,143.49

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Solution

The third proportional to 746.72 and 1,143.49 is: 1,751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.72 : 1,143.49 = 1,143.49 : x
  2. Step 2: Convert to fraction form
    746.72/1,143.49 = 1,143.49/x
  3. Step 3: Cross multiply
    746.72x = 1,143.49 × 1,143.49
  4. Step 4: Simplify right side
    746.72x = 1,307,574.38
  5. Step 5: Solve for x
    x = 1,307,574.38/746.72
  6. Step 6: Final answer
    x = 1,751.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.