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Finding the Third Proportional to 213,599 and 454,806

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Solution

The third proportional to 213,599 and 454,806 is: 968,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,599 : 454,806 = 454,806 : x
  2. Step 2: Convert to fraction form
    213,599/454,806 = 454,806/x
  3. Step 3: Cross multiply
    213,599x = 454,806 × 454,806
  4. Step 4: Simplify right side
    213,599x = 206,848,497,636
  5. Step 5: Solve for x
    x = 206,848,497,636/213,599
  6. Step 6: Final answer
    x = 968,396.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.