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Finding the Third Proportional to 361,794.38 and 763,725.38

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Solution

The third proportional to 361,794.38 and 763,725.38 is: 1,612,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,794.38 : 763,725.38 = 763,725.38 : x
  2. Step 2: Convert to fraction form
    361,794.38/763,725.38 = 763,725.38/x
  3. Step 3: Cross multiply
    361,794.38x = 763,725.38 × 763,725.38
  4. Step 4: Simplify right side
    361,794.38x = 583,276,448,418.89
  5. Step 5: Solve for x
    x = 583,276,448,418.89/361,794.38
  6. Step 6: Final answer
    x = 1,612,176.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.