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Finding the Third Proportional to 379.25 and 568.88

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Solution

The third proportional to 379.25 and 568.88 is: 853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.25 : 568.88 = 568.88 : x
  2. Step 2: Convert to fraction form
    379.25/568.88 = 568.88/x
  3. Step 3: Cross multiply
    379.25x = 568.88 × 568.88
  4. Step 4: Simplify right side
    379.25x = 323,618.77
  5. Step 5: Solve for x
    x = 323,618.77/379.25
  6. Step 6: Final answer
    x = 853.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.