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Finding the Third Proportional to 209,193 and 457,266

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Solution

The third proportional to 209,193 and 457,266 is: 999,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,193 : 457,266 = 457,266 : x
  2. Step 2: Convert to fraction form
    209,193/457,266 = 457,266/x
  3. Step 3: Cross multiply
    209,193x = 457,266 × 457,266
  4. Step 4: Simplify right side
    209,193x = 209,092,194,756
  5. Step 5: Solve for x
    x = 209,092,194,756/209,193
  6. Step 6: Final answer
    x = 999,518.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.