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Finding the Third Proportional to 548,802 and 855,306

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Solution

The third proportional to 548,802 and 855,306 is: 1,332,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,802 : 855,306 = 855,306 : x
  2. Step 2: Convert to fraction form
    548,802/855,306 = 855,306/x
  3. Step 3: Cross multiply
    548,802x = 855,306 × 855,306
  4. Step 4: Simplify right side
    548,802x = 731,548,353,636
  5. Step 5: Solve for x
    x = 731,548,353,636/548,802
  6. Step 6: Final answer
    x = 1,332,991.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.