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Finding the Third Proportional to 519.94 and 759.56

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Solution

The third proportional to 519.94 and 759.56 is: 1,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 759.56 = 759.56 : x
  2. Step 2: Convert to fraction form
    519.94/759.56 = 759.56/x
  3. Step 3: Cross multiply
    519.94x = 759.56 × 759.56
  4. Step 4: Simplify right side
    519.94x = 576,935.19
  5. Step 5: Solve for x
    x = 576,935.19/519.94
  6. Step 6: Final answer
    x = 1,109.62

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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.