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Finding the Third Proportional to 388.69 and 837.94

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Solution

The third proportional to 388.69 and 837.94 is: 1,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.69 : 837.94 = 837.94 : x
  2. Step 2: Convert to fraction form
    388.69/837.94 = 837.94/x
  3. Step 3: Cross multiply
    388.69x = 837.94 × 837.94
  4. Step 4: Simplify right side
    388.69x = 702,139.25
  5. Step 5: Solve for x
    x = 702,139.25/388.69
  6. Step 6: Final answer
    x = 1,806.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.