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Finding the Third Proportional to 605,920.50 and 897,163.59

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Solution

The third proportional to 605,920.50 and 897,163.59 is: 1,328,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,920.50 : 897,163.59 = 897,163.59 : x
  2. Step 2: Convert to fraction form
    605,920.50/897,163.59 = 897,163.59/x
  3. Step 3: Cross multiply
    605,920.50x = 897,163.59 × 897,163.59
  4. Step 4: Simplify right side
    605,920.50x = 804,902,513,950.42
  5. Step 5: Solve for x
    x = 804,902,513,950.42/605,920.50
  6. Step 6: Final answer
    x = 1,328,396.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.