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Finding the Third Proportional to 333,992 and 679,650

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Solution

The third proportional to 333,992 and 679,650 is: 1,383,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,992 : 679,650 = 679,650 : x
  2. Step 2: Convert to fraction form
    333,992/679,650 = 679,650/x
  3. Step 3: Cross multiply
    333,992x = 679,650 × 679,650
  4. Step 4: Simplify right side
    333,992x = 461,924,122,500
  5. Step 5: Solve for x
    x = 461,924,122,500/333,992
  6. Step 6: Final answer
    x = 1,383,039.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.