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Finding the Third Proportional to 297,365.50 and 444,750

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Solution

The third proportional to 297,365.50 and 444,750 is: 665,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,365.50 : 444,750 = 444,750 : x
  2. Step 2: Convert to fraction form
    297,365.50/444,750 = 444,750/x
  3. Step 3: Cross multiply
    297,365.50x = 444,750 × 444,750
  4. Step 4: Simplify right side
    297,365.50x = 197,802,562,500
  5. Step 5: Solve for x
    x = 197,802,562,500/297,365.50
  6. Step 6: Final answer
    x = 665,183.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.