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Finding the Third Proportional to 381,063 and 804,894

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Solution

The third proportional to 381,063 and 804,894 is: 1,700,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,063 : 804,894 = 804,894 : x
  2. Step 2: Convert to fraction form
    381,063/804,894 = 804,894/x
  3. Step 3: Cross multiply
    381,063x = 804,894 × 804,894
  4. Step 4: Simplify right side
    381,063x = 647,854,351,236
  5. Step 5: Solve for x
    x = 647,854,351,236/381,063
  6. Step 6: Final answer
    x = 1,700,124.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.