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Finding the Third Proportional to 361,125 and 768,906

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Solution

The third proportional to 361,125 and 768,906 is: 1,637,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,125 : 768,906 = 768,906 : x
  2. Step 2: Convert to fraction form
    361,125/768,906 = 768,906/x
  3. Step 3: Cross multiply
    361,125x = 768,906 × 768,906
  4. Step 4: Simplify right side
    361,125x = 591,216,436,836
  5. Step 5: Solve for x
    x = 591,216,436,836/361,125
  6. Step 6: Final answer
    x = 1,637,151.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.