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Finding the Third Proportional to 371.75 and 554.38

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Solution

The third proportional to 371.75 and 554.38 is: 826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.75 : 554.38 = 554.38 : x
  2. Step 2: Convert to fraction form
    371.75/554.38 = 554.38/x
  3. Step 3: Cross multiply
    371.75x = 554.38 × 554.38
  4. Step 4: Simplify right side
    371.75x = 307,331.64
  5. Step 5: Solve for x
    x = 307,331.64/371.75
  6. Step 6: Final answer
    x = 826.72

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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.