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Finding the Third Proportional to 351,924.75 and 768,381.19

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Solution

The third proportional to 351,924.75 and 768,381.19 is: 1,677,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,924.75 : 768,381.19 = 768,381.19 : x
  2. Step 2: Convert to fraction form
    351,924.75/768,381.19 = 768,381.19/x
  3. Step 3: Cross multiply
    351,924.75x = 768,381.19 × 768,381.19
  4. Step 4: Simplify right side
    351,924.75x = 590,409,649,303.91
  5. Step 5: Solve for x
    x = 590,409,649,303.91/351,924.75
  6. Step 6: Final answer
    x = 1,677,658.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.