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Finding the Third Proportional to 354,665 and 778,234

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Solution

The third proportional to 354,665 and 778,234 is: 1,707,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,665 : 778,234 = 778,234 : x
  2. Step 2: Convert to fraction form
    354,665/778,234 = 778,234/x
  3. Step 3: Cross multiply
    354,665x = 778,234 × 778,234
  4. Step 4: Simplify right side
    354,665x = 605,648,158,756
  5. Step 5: Solve for x
    x = 605,648,158,756/354,665
  6. Step 6: Final answer
    x = 1,707,662.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.