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Finding the Third Proportional to 391,416.75 and 834,090.75

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Solution

The third proportional to 391,416.75 and 834,090.75 is: 1,777,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,416.75 : 834,090.75 = 834,090.75 : x
  2. Step 2: Convert to fraction form
    391,416.75/834,090.75 = 834,090.75/x
  3. Step 3: Cross multiply
    391,416.75x = 834,090.75 × 834,090.75
  4. Step 4: Simplify right side
    391,416.75x = 695,707,379,235.56
  5. Step 5: Solve for x
    x = 695,707,379,235.56/391,416.75
  6. Step 6: Final answer
    x = 1,777,408.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.