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Finding the Third Proportional to 383,941 and 568,357

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Solution

The third proportional to 383,941 and 568,357 is: 841,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,941 : 568,357 = 568,357 : x
  2. Step 2: Convert to fraction form
    383,941/568,357 = 568,357/x
  3. Step 3: Cross multiply
    383,941x = 568,357 × 568,357
  4. Step 4: Simplify right side
    383,941x = 323,029,679,449
  5. Step 5: Solve for x
    x = 323,029,679,449/383,941
  6. Step 6: Final answer
    x = 841,352.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.