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Finding the Third Proportional to 412,449 and 603,906

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Solution

The third proportional to 412,449 and 603,906 is: 884,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,449 : 603,906 = 603,906 : x
  2. Step 2: Convert to fraction form
    412,449/603,906 = 603,906/x
  3. Step 3: Cross multiply
    412,449x = 603,906 × 603,906
  4. Step 4: Simplify right side
    412,449x = 364,702,456,836
  5. Step 5: Solve for x
    x = 364,702,456,836/412,449
  6. Step 6: Final answer
    x = 884,236.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.