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Finding the Third Proportional to 219,801 and 451,248

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Solution

The third proportional to 219,801 and 451,248 is: 926,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,801 : 451,248 = 451,248 : x
  2. Step 2: Convert to fraction form
    219,801/451,248 = 451,248/x
  3. Step 3: Cross multiply
    219,801x = 451,248 × 451,248
  4. Step 4: Simplify right side
    219,801x = 203,624,757,504
  5. Step 5: Solve for x
    x = 203,624,757,504/219,801
  6. Step 6: Final answer
    x = 926,405.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.