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Finding the Third Proportional to 392.50 and 837.13

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Solution

The third proportional to 392.50 and 837.13 is: 1,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.50 : 837.13 = 837.13 : x
  2. Step 2: Convert to fraction form
    392.50/837.13 = 837.13/x
  3. Step 3: Cross multiply
    392.50x = 837.13 × 837.13
  4. Step 4: Simplify right side
    392.50x = 700,778.27
  5. Step 5: Solve for x
    x = 700,778.27/392.50
  6. Step 6: Final answer
    x = 1,785.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.