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Finding the Third Proportional to 299,463.75 and 649,503

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Solution

The third proportional to 299,463.75 and 649,503 is: 1,408,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,463.75 : 649,503 = 649,503 : x
  2. Step 2: Convert to fraction form
    299,463.75/649,503 = 649,503/x
  3. Step 3: Cross multiply
    299,463.75x = 649,503 × 649,503
  4. Step 4: Simplify right side
    299,463.75x = 421,854,147,009
  5. Step 5: Solve for x
    x = 421,854,147,009/299,463.75
  6. Step 6: Final answer
    x = 1,408,698.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.