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Finding the Third Proportional to 366,844 and 804,993

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Solution

The third proportional to 366,844 and 804,993 is: 1,766,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,844 : 804,993 = 804,993 : x
  2. Step 2: Convert to fraction form
    366,844/804,993 = 804,993/x
  3. Step 3: Cross multiply
    366,844x = 804,993 × 804,993
  4. Step 4: Simplify right side
    366,844x = 648,013,730,049
  5. Step 5: Solve for x
    x = 648,013,730,049/366,844
  6. Step 6: Final answer
    x = 1,766,455.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.