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Finding the Third Proportional to 377,991 and 529,150.50

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Solution

The third proportional to 377,991 and 529,150.50 is: 740,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,991 : 529,150.50 = 529,150.50 : x
  2. Step 2: Convert to fraction form
    377,991/529,150.50 = 529,150.50/x
  3. Step 3: Cross multiply
    377,991x = 529,150.50 × 529,150.50
  4. Step 4: Simplify right side
    377,991x = 280,000,251,650.25
  5. Step 5: Solve for x
    x = 280,000,251,650.25/377,991
  6. Step 6: Final answer
    x = 740,759.04

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.