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Finding the Third Proportional to 219,798 and 451,242

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Solution

The third proportional to 219,798 and 451,242 is: 926,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,798 : 451,242 = 451,242 : x
  2. Step 2: Convert to fraction form
    219,798/451,242 = 451,242/x
  3. Step 3: Cross multiply
    219,798x = 451,242 × 451,242
  4. Step 4: Simplify right side
    219,798x = 203,619,342,564
  5. Step 5: Solve for x
    x = 203,619,342,564/219,798
  6. Step 6: Final answer
    x = 926,393.06

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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.