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Finding the Third Proportional to 296,106 and 603,204

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Solution

The third proportional to 296,106 and 603,204 is: 1,228,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,106 : 603,204 = 603,204 : x
  2. Step 2: Convert to fraction form
    296,106/603,204 = 603,204/x
  3. Step 3: Cross multiply
    296,106x = 603,204 × 603,204
  4. Step 4: Simplify right side
    296,106x = 363,855,065,616
  5. Step 5: Solve for x
    x = 363,855,065,616/296,106
  6. Step 6: Final answer
    x = 1,228,800.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.