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Finding the Third Proportional to 574.75 and 844.33

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Solution

The third proportional to 574.75 and 844.33 is: 1,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.75 : 844.33 = 844.33 : x
  2. Step 2: Convert to fraction form
    574.75/844.33 = 844.33/x
  3. Step 3: Cross multiply
    574.75x = 844.33 × 844.33
  4. Step 4: Simplify right side
    574.75x = 712,893.28
  5. Step 5: Solve for x
    x = 712,893.28/574.75
  6. Step 6: Final answer
    x = 1,240.35

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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.