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Finding the Third Proportional to 381,601 and 829,526

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Solution

The third proportional to 381,601 and 829,526 is: 1,803,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,601 : 829,526 = 829,526 : x
  2. Step 2: Convert to fraction form
    381,601/829,526 = 829,526/x
  3. Step 3: Cross multiply
    381,601x = 829,526 × 829,526
  4. Step 4: Simplify right side
    381,601x = 688,113,384,676
  5. Step 5: Solve for x
    x = 688,113,384,676/381,601
  6. Step 6: Final answer
    x = 1,803,227.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.