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Finding the Third Proportional to 205,761 and 450,914

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Solution

The third proportional to 205,761 and 450,914 is: 988,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,761 : 450,914 = 450,914 : x
  2. Step 2: Convert to fraction form
    205,761/450,914 = 450,914/x
  3. Step 3: Cross multiply
    205,761x = 450,914 × 450,914
  4. Step 4: Simplify right side
    205,761x = 203,323,435,396
  5. Step 5: Solve for x
    x = 203,323,435,396/205,761
  6. Step 6: Final answer
    x = 988,153.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.