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Finding the Third Proportional to 376,551 and 827,733

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Solution

The third proportional to 376,551 and 827,733 is: 1,819,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,551 : 827,733 = 827,733 : x
  2. Step 2: Convert to fraction form
    376,551/827,733 = 827,733/x
  3. Step 3: Cross multiply
    376,551x = 827,733 × 827,733
  4. Step 4: Simplify right side
    376,551x = 685,141,919,289
  5. Step 5: Solve for x
    x = 685,141,919,289/376,551
  6. Step 6: Final answer
    x = 1,819,519.59

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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.