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Finding the Third Proportional to 259,695 and 388,510.50

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Solution

The third proportional to 259,695 and 388,510.50 is: 581,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,695 : 388,510.50 = 388,510.50 : x
  2. Step 2: Convert to fraction form
    259,695/388,510.50 = 388,510.50/x
  3. Step 3: Cross multiply
    259,695x = 388,510.50 × 388,510.50
  4. Step 4: Simplify right side
    259,695x = 150,940,408,610.25
  5. Step 5: Solve for x
    x = 150,940,408,610.25/259,695
  6. Step 6: Final answer
    x = 581,221.85

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Why These Related Problems?

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