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Finding the Third Proportional to 643.97 and 930.52

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Solution

The third proportional to 643.97 and 930.52 is: 1,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.97 : 930.52 = 930.52 : x
  2. Step 2: Convert to fraction form
    643.97/930.52 = 930.52/x
  3. Step 3: Cross multiply
    643.97x = 930.52 × 930.52
  4. Step 4: Simplify right side
    643.97x = 865,859.33
  5. Step 5: Solve for x
    x = 865,859.33/643.97
  6. Step 6: Final answer
    x = 1,344.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.