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Finding the Third Proportional to 603,099 and 819,067.50

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Solution

The third proportional to 603,099 and 819,067.50 is: 1,112,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,099 : 819,067.50 = 819,067.50 : x
  2. Step 2: Convert to fraction form
    603,099/819,067.50 = 819,067.50/x
  3. Step 3: Cross multiply
    603,099x = 819,067.50 × 819,067.50
  4. Step 4: Simplify right side
    603,099x = 670,871,569,556.25
  5. Step 5: Solve for x
    x = 670,871,569,556.25/603,099
  6. Step 6: Final answer
    x = 1,112,373.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.