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Finding the Third Proportional to 205,732 and 449,911

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Solution

The third proportional to 205,732 and 449,911 is: 983,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,732 : 449,911 = 449,911 : x
  2. Step 2: Convert to fraction form
    205,732/449,911 = 449,911/x
  3. Step 3: Cross multiply
    205,732x = 449,911 × 449,911
  4. Step 4: Simplify right side
    205,732x = 202,419,907,921
  5. Step 5: Solve for x
    x = 202,419,907,921/205,732
  6. Step 6: Final answer
    x = 983,900.94

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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.