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Finding the Third Proportional to 277,922 and 606,692

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Solution

The third proportional to 277,922 and 606,692 is: 1,324,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,922 : 606,692 = 606,692 : x
  2. Step 2: Convert to fraction form
    277,922/606,692 = 606,692/x
  3. Step 3: Cross multiply
    277,922x = 606,692 × 606,692
  4. Step 4: Simplify right side
    277,922x = 368,075,182,864
  5. Step 5: Solve for x
    x = 368,075,182,864/277,922
  6. Step 6: Final answer
    x = 1,324,383.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.