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Finding the Third Proportional to 372,661 and 804,847

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Solution

The third proportional to 372,661 and 804,847 is: 1,738,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,661 : 804,847 = 804,847 : x
  2. Step 2: Convert to fraction form
    372,661/804,847 = 804,847/x
  3. Step 3: Cross multiply
    372,661x = 804,847 × 804,847
  4. Step 4: Simplify right side
    372,661x = 647,778,693,409
  5. Step 5: Solve for x
    x = 647,778,693,409/372,661
  6. Step 6: Final answer
    x = 1,738,251.91

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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.