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Finding the Third Proportional to 208,434 and 449,022

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Solution

The third proportional to 208,434 and 449,022 is: 967,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,434 : 449,022 = 449,022 : x
  2. Step 2: Convert to fraction form
    208,434/449,022 = 449,022/x
  3. Step 3: Cross multiply
    208,434x = 449,022 × 449,022
  4. Step 4: Simplify right side
    208,434x = 201,620,756,484
  5. Step 5: Solve for x
    x = 201,620,756,484/208,434
  6. Step 6: Final answer
    x = 967,312.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.