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Finding the Third Proportional to 366,930 and 561,337

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Solution

The third proportional to 366,930 and 561,337 is: 858,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,930 : 561,337 = 561,337 : x
  2. Step 2: Convert to fraction form
    366,930/561,337 = 561,337/x
  3. Step 3: Cross multiply
    366,930x = 561,337 × 561,337
  4. Step 4: Simplify right side
    366,930x = 315,099,227,569
  5. Step 5: Solve for x
    x = 315,099,227,569/366,930
  6. Step 6: Final answer
    x = 858,744.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.