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Finding the Third Proportional to 381,066 and 804,900

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Solution

The third proportional to 381,066 and 804,900 is: 1,700,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,066 : 804,900 = 804,900 : x
  2. Step 2: Convert to fraction form
    381,066/804,900 = 804,900/x
  3. Step 3: Cross multiply
    381,066x = 804,900 × 804,900
  4. Step 4: Simplify right side
    381,066x = 647,864,010,000
  5. Step 5: Solve for x
    x = 647,864,010,000/381,066
  6. Step 6: Final answer
    x = 1,700,135.96

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