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Finding the Third Proportional to 412,801.50 and 550,462.50

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Solution

The third proportional to 412,801.50 and 550,462.50 is: 734,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,801.50 : 550,462.50 = 550,462.50 : x
  2. Step 2: Convert to fraction form
    412,801.50/550,462.50 = 550,462.50/x
  3. Step 3: Cross multiply
    412,801.50x = 550,462.50 × 550,462.50
  4. Step 4: Simplify right side
    412,801.50x = 303,008,963,906.25
  5. Step 5: Solve for x
    x = 303,008,963,906.25/412,801.50
  6. Step 6: Final answer
    x = 734,030.68

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.