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Finding the Third Proportional to 379,396 and 568,104

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Solution

The third proportional to 379,396 and 568,104 is: 850,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,396 : 568,104 = 568,104 : x
  2. Step 2: Convert to fraction form
    379,396/568,104 = 568,104/x
  3. Step 3: Cross multiply
    379,396x = 568,104 × 568,104
  4. Step 4: Simplify right side
    379,396x = 322,742,154,816
  5. Step 5: Solve for x
    x = 322,742,154,816/379,396
  6. Step 6: Final answer
    x = 850,673.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.