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Finding the Third Proportional to 301,103 and 443,338

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Solution

The third proportional to 301,103 and 443,338 is: 652,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,103 : 443,338 = 443,338 : x
  2. Step 2: Convert to fraction form
    301,103/443,338 = 443,338/x
  3. Step 3: Cross multiply
    301,103x = 443,338 × 443,338
  4. Step 4: Simplify right side
    301,103x = 196,548,582,244
  5. Step 5: Solve for x
    x = 196,548,582,244/301,103
  6. Step 6: Final answer
    x = 652,761.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.