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Finding the Third Proportional to 223,162 and 491,594

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Solution

The third proportional to 223,162 and 491,594 is: 1,082,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,162 : 491,594 = 491,594 : x
  2. Step 2: Convert to fraction form
    223,162/491,594 = 491,594/x
  3. Step 3: Cross multiply
    223,162x = 491,594 × 491,594
  4. Step 4: Simplify right side
    223,162x = 241,664,660,836
  5. Step 5: Solve for x
    x = 241,664,660,836/223,162
  6. Step 6: Final answer
    x = 1,082,911.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.