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Finding the Third Proportional to 381,040 and 804,848

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Solution

The third proportional to 381,040 and 804,848 is: 1,700,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,040 : 804,848 = 804,848 : x
  2. Step 2: Convert to fraction form
    381,040/804,848 = 804,848/x
  3. Step 3: Cross multiply
    381,040x = 804,848 × 804,848
  4. Step 4: Simplify right side
    381,040x = 647,780,303,104
  5. Step 5: Solve for x
    x = 647,780,303,104/381,040
  6. Step 6: Final answer
    x = 1,700,032.29

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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.