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Finding the Third Proportional to 377,956 and 568,644

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Solution

The third proportional to 377,956 and 568,644 is: 855,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,956 : 568,644 = 568,644 : x
  2. Step 2: Convert to fraction form
    377,956/568,644 = 568,644/x
  3. Step 3: Cross multiply
    377,956x = 568,644 × 568,644
  4. Step 4: Simplify right side
    377,956x = 323,355,998,736
  5. Step 5: Solve for x
    x = 323,355,998,736/377,956
  6. Step 6: Final answer
    x = 855,538.74

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