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Finding the Third Proportional to 381,060 and 804,888

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Solution

The third proportional to 381,060 and 804,888 is: 1,700,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,060 : 804,888 = 804,888 : x
  2. Step 2: Convert to fraction form
    381,060/804,888 = 804,888/x
  3. Step 3: Cross multiply
    381,060x = 804,888 × 804,888
  4. Step 4: Simplify right side
    381,060x = 647,844,692,544
  5. Step 5: Solve for x
    x = 647,844,692,544/381,060
  6. Step 6: Final answer
    x = 1,700,112.04

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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.