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Finding the Third Proportional to 519.38 and 779.06

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Solution

The third proportional to 519.38 and 779.06 is: 1,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.38 : 779.06 = 779.06 : x
  2. Step 2: Convert to fraction form
    519.38/779.06 = 779.06/x
  3. Step 3: Cross multiply
    519.38x = 779.06 × 779.06
  4. Step 4: Simplify right side
    519.38x = 606,938.38
  5. Step 5: Solve for x
    x = 606,938.38/519.38
  6. Step 6: Final answer
    x = 1,168.59

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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.