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Finding the Third Proportional to 548,972 and 792,831

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Solution

The third proportional to 548,972 and 792,831 is: 1,145,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,972 : 792,831 = 792,831 : x
  2. Step 2: Convert to fraction form
    548,972/792,831 = 792,831/x
  3. Step 3: Cross multiply
    548,972x = 792,831 × 792,831
  4. Step 4: Simplify right side
    548,972x = 628,580,994,561
  5. Step 5: Solve for x
    x = 628,580,994,561/548,972
  6. Step 6: Final answer
    x = 1,145,014.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.