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Finding the Third Proportional to 376,533 and 827,697

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Solution

The third proportional to 376,533 and 827,697 is: 1,819,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,533 : 827,697 = 827,697 : x
  2. Step 2: Convert to fraction form
    376,533/827,697 = 827,697/x
  3. Step 3: Cross multiply
    376,533x = 827,697 × 827,697
  4. Step 4: Simplify right side
    376,533x = 685,082,323,809
  5. Step 5: Solve for x
    x = 685,082,323,809/376,533
  6. Step 6: Final answer
    x = 1,819,448.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.