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Finding the Third Proportional to 367,786.50 and 775,506

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Solution

The third proportional to 367,786.50 and 775,506 is: 1,635,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,786.50 : 775,506 = 775,506 : x
  2. Step 2: Convert to fraction form
    367,786.50/775,506 = 775,506/x
  3. Step 3: Cross multiply
    367,786.50x = 775,506 × 775,506
  4. Step 4: Simplify right side
    367,786.50x = 601,409,556,036
  5. Step 5: Solve for x
    x = 601,409,556,036/367,786.50
  6. Step 6: Final answer
    x = 1,635,213.79

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.