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Finding the Third Proportional to 372,991 and 804,951

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Solution

The third proportional to 372,991 and 804,951 is: 1,737,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,991 : 804,951 = 804,951 : x
  2. Step 2: Convert to fraction form
    372,991/804,951 = 804,951/x
  3. Step 3: Cross multiply
    372,991x = 804,951 × 804,951
  4. Step 4: Simplify right side
    372,991x = 647,946,112,401
  5. Step 5: Solve for x
    x = 647,946,112,401/372,991
  6. Step 6: Final answer
    x = 1,737,162.86

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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.