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Finding the Third Proportional to 432.14 and 937.41

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Solution

The third proportional to 432.14 and 937.41 is: 2,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.14 : 937.41 = 937.41 : x
  2. Step 2: Convert to fraction form
    432.14/937.41 = 937.41/x
  3. Step 3: Cross multiply
    432.14x = 937.41 × 937.41
  4. Step 4: Simplify right side
    432.14x = 878,730.48
  5. Step 5: Solve for x
    x = 878,730.48/432.14
  6. Step 6: Final answer
    x = 2,033.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.