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Finding the Third Proportional to 619.31 and 960.09

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Solution

The third proportional to 619.31 and 960.09 is: 1,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.31 : 960.09 = 960.09 : x
  2. Step 2: Convert to fraction form
    619.31/960.09 = 960.09/x
  3. Step 3: Cross multiply
    619.31x = 960.09 × 960.09
  4. Step 4: Simplify right side
    619.31x = 921,780.01
  5. Step 5: Solve for x
    x = 921,780.01/619.31
  6. Step 6: Final answer
    x = 1,488.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.