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Finding the Third Proportional to 205,706 and 449,860

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Solution

The third proportional to 205,706 and 449,860 is: 983,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,706 : 449,860 = 449,860 : x
  2. Step 2: Convert to fraction form
    205,706/449,860 = 449,860/x
  3. Step 3: Cross multiply
    205,706x = 449,860 × 449,860
  4. Step 4: Simplify right side
    205,706x = 202,374,019,600
  5. Step 5: Solve for x
    x = 202,374,019,600/205,706
  6. Step 6: Final answer
    x = 983,802.22

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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.