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Finding the Third Proportional to 838.63 and 1,711.44

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Solution

The third proportional to 838.63 and 1,711.44 is: 3,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.63 : 1,711.44 = 1,711.44 : x
  2. Step 2: Convert to fraction form
    838.63/1,711.44 = 1,711.44/x
  3. Step 3: Cross multiply
    838.63x = 1,711.44 × 1,711.44
  4. Step 4: Simplify right side
    838.63x = 2,929,031.69
  5. Step 5: Solve for x
    x = 2,929,031.69/838.63
  6. Step 6: Final answer
    x = 3,492.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.