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Finding the Third Proportional to 379,067.25 and 824,565

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Solution

The third proportional to 379,067.25 and 824,565 is: 1,793,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,067.25 : 824,565 = 824,565 : x
  2. Step 2: Convert to fraction form
    379,067.25/824,565 = 824,565/x
  3. Step 3: Cross multiply
    379,067.25x = 824,565 × 824,565
  4. Step 4: Simplify right side
    379,067.25x = 679,907,439,225
  5. Step 5: Solve for x
    x = 679,907,439,225/379,067.25
  6. Step 6: Final answer
    x = 1,793,632.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.