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Finding the Third Proportional to 203,005 and 446,510

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Solution

The third proportional to 203,005 and 446,510 is: 982,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,005 : 446,510 = 446,510 : x
  2. Step 2: Convert to fraction form
    203,005/446,510 = 446,510/x
  3. Step 3: Cross multiply
    203,005x = 446,510 × 446,510
  4. Step 4: Simplify right side
    203,005x = 199,371,180,100
  5. Step 5: Solve for x
    x = 199,371,180,100/203,005
  6. Step 6: Final answer
    x = 982,099.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.