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Finding the Third Proportional to 519.84 and 764.52

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Solution

The third proportional to 519.84 and 764.52 is: 1,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.84 : 764.52 = 764.52 : x
  2. Step 2: Convert to fraction form
    519.84/764.52 = 764.52/x
  3. Step 3: Cross multiply
    519.84x = 764.52 × 764.52
  4. Step 4: Simplify right side
    519.84x = 584,496.09
  5. Step 5: Solve for x
    x = 584,496.09/519.84
  6. Step 6: Final answer
    x = 1,124.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.