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Finding the Third Proportional to 519,975 and 798,885

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Solution

The third proportional to 519,975 and 798,885 is: 1,227,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,975 : 798,885 = 798,885 : x
  2. Step 2: Convert to fraction form
    519,975/798,885 = 798,885/x
  3. Step 3: Cross multiply
    519,975x = 798,885 × 798,885
  4. Step 4: Simplify right side
    519,975x = 638,217,243,225
  5. Step 5: Solve for x
    x = 638,217,243,225/519,975
  6. Step 6: Final answer
    x = 1,227,399.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.