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Finding the Third Proportional to 379.69 and 554.34

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Solution

The third proportional to 379.69 and 554.34 is: 809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.69 : 554.34 = 554.34 : x
  2. Step 2: Convert to fraction form
    379.69/554.34 = 554.34/x
  3. Step 3: Cross multiply
    379.69x = 554.34 × 554.34
  4. Step 4: Simplify right side
    379.69x = 307,296.99
  5. Step 5: Solve for x
    x = 307,296.99/379.69
  6. Step 6: Final answer
    x = 809.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.