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Finding the Third Proportional to 569.06 and 853.69

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Solution

The third proportional to 569.06 and 853.69 is: 1,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.06 : 853.69 = 853.69 : x
  2. Step 2: Convert to fraction form
    569.06/853.69 = 853.69/x
  3. Step 3: Cross multiply
    569.06x = 853.69 × 853.69
  4. Step 4: Simplify right side
    569.06x = 728,782.35
  5. Step 5: Solve for x
    x = 728,782.35/569.06
  6. Step 6: Final answer
    x = 1,280.67

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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.