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Finding the Third Proportional to 519.19 and 754.59

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Solution

The third proportional to 519.19 and 754.59 is: 1,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.19 : 754.59 = 754.59 : x
  2. Step 2: Convert to fraction form
    519.19/754.59 = 754.59/x
  3. Step 3: Cross multiply
    519.19x = 754.59 × 754.59
  4. Step 4: Simplify right side
    519.19x = 569,411.73
  5. Step 5: Solve for x
    x = 569,411.73/519.19
  6. Step 6: Final answer
    x = 1,096.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.