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Finding the Third Proportional to 363,794 and 561,243

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Solution

The third proportional to 363,794 and 561,243 is: 865,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,794 : 561,243 = 561,243 : x
  2. Step 2: Convert to fraction form
    363,794/561,243 = 561,243/x
  3. Step 3: Cross multiply
    363,794x = 561,243 × 561,243
  4. Step 4: Simplify right side
    363,794x = 314,993,705,049
  5. Step 5: Solve for x
    x = 314,993,705,049/363,794
  6. Step 6: Final answer
    x = 865,857.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.