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Finding the Third Proportional to 259,596 and 379,186

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Solution

The third proportional to 259,596 and 379,186 is: 553,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,596 : 379,186 = 379,186 : x
  2. Step 2: Convert to fraction form
    259,596/379,186 = 379,186/x
  3. Step 3: Cross multiply
    259,596x = 379,186 × 379,186
  4. Step 4: Simplify right side
    259,596x = 143,782,022,596
  5. Step 5: Solve for x
    x = 143,782,022,596/259,596
  6. Step 6: Final answer
    x = 553,868.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.