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Finding the Third Proportional to 375,923 and 810,529

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Solution

The third proportional to 375,923 and 810,529 is: 1,747,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,923 : 810,529 = 810,529 : x
  2. Step 2: Convert to fraction form
    375,923/810,529 = 810,529/x
  3. Step 3: Cross multiply
    375,923x = 810,529 × 810,529
  4. Step 4: Simplify right side
    375,923x = 656,957,259,841
  5. Step 5: Solve for x
    x = 656,957,259,841/375,923
  6. Step 6: Final answer
    x = 1,747,584.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.