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Finding the Third Proportional to 279,877.50 and 419,375.25

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Solution

The third proportional to 279,877.50 and 419,375.25 is: 628,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,877.50 : 419,375.25 = 419,375.25 : x
  2. Step 2: Convert to fraction form
    279,877.50/419,375.25 = 419,375.25/x
  3. Step 3: Cross multiply
    279,877.50x = 419,375.25 × 419,375.25
  4. Step 4: Simplify right side
    279,877.50x = 175,875,600,312.56
  5. Step 5: Solve for x
    x = 175,875,600,312.56/279,877.50
  6. Step 6: Final answer
    x = 628,402.07

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