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Finding the Third Proportional to 255,846 and 391,594

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Solution

The third proportional to 255,846 and 391,594 is: 599,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,846 : 391,594 = 391,594 : x
  2. Step 2: Convert to fraction form
    255,846/391,594 = 391,594/x
  3. Step 3: Cross multiply
    255,846x = 391,594 × 391,594
  4. Step 4: Simplify right side
    255,846x = 153,345,860,836
  5. Step 5: Solve for x
    x = 153,345,860,836/255,846
  6. Step 6: Final answer
    x = 599,367.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.