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Finding the Third Proportional to 376,556 and 827,742

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Solution

The third proportional to 376,556 and 827,742 is: 1,819,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,556 : 827,742 = 827,742 : x
  2. Step 2: Convert to fraction form
    376,556/827,742 = 827,742/x
  3. Step 3: Cross multiply
    376,556x = 827,742 × 827,742
  4. Step 4: Simplify right side
    376,556x = 685,156,818,564
  5. Step 5: Solve for x
    x = 685,156,818,564/376,556
  6. Step 6: Final answer
    x = 1,819,534.99

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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.