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Finding the Third Proportional to 361,074 and 792,164

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Solution

The third proportional to 361,074 and 792,164 is: 1,737,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,074 : 792,164 = 792,164 : x
  2. Step 2: Convert to fraction form
    361,074/792,164 = 792,164/x
  3. Step 3: Cross multiply
    361,074x = 792,164 × 792,164
  4. Step 4: Simplify right side
    361,074x = 627,523,802,896
  5. Step 5: Solve for x
    x = 627,523,802,896/361,074
  6. Step 6: Final answer
    x = 1,737,936.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.