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Finding the Third Proportional to 258,974 and 610,467

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Solution

The third proportional to 258,974 and 610,467 is: 1,439,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,974 : 610,467 = 610,467 : x
  2. Step 2: Convert to fraction form
    258,974/610,467 = 610,467/x
  3. Step 3: Cross multiply
    258,974x = 610,467 × 610,467
  4. Step 4: Simplify right side
    258,974x = 372,669,958,089
  5. Step 5: Solve for x
    x = 372,669,958,089/258,974
  6. Step 6: Final answer
    x = 1,439,024.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.