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Finding the Third Proportional to 376,549 and 827,735

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Solution

The third proportional to 376,549 and 827,735 is: 1,819,538.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,549 : 827,735 = 827,735 : x
  2. Step 2: Convert to fraction form
    376,549/827,735 = 827,735/x
  3. Step 3: Cross multiply
    376,549x = 827,735 × 827,735
  4. Step 4: Simplify right side
    376,549x = 685,145,230,225
  5. Step 5: Solve for x
    x = 685,145,230,225/376,549
  6. Step 6: Final answer
    x = 1,819,538.04

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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.