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Finding the Third Proportional to 372,734 and 804,973

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Solution

The third proportional to 372,734 and 804,973 is: 1,738,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,734 : 804,973 = 804,973 : x
  2. Step 2: Convert to fraction form
    372,734/804,973 = 804,973/x
  3. Step 3: Cross multiply
    372,734x = 804,973 × 804,973
  4. Step 4: Simplify right side
    372,734x = 647,981,530,729
  5. Step 5: Solve for x
    x = 647,981,530,729/372,734
  6. Step 6: Final answer
    x = 1,738,455.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.