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Finding the Third Proportional to 199,408 and 433,806

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Solution

The third proportional to 199,408 and 433,806 is: 943,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,408 : 433,806 = 433,806 : x
  2. Step 2: Convert to fraction form
    199,408/433,806 = 433,806/x
  3. Step 3: Cross multiply
    199,408x = 433,806 × 433,806
  4. Step 4: Simplify right side
    199,408x = 188,187,645,636
  5. Step 5: Solve for x
    x = 188,187,645,636/199,408
  6. Step 6: Final answer
    x = 943,731.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.