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Finding the Third Proportional to 354,933 and 769,750.88

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Solution

The third proportional to 354,933 and 769,750.88 is: 1,669,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,933 : 769,750.88 = 769,750.88 : x
  2. Step 2: Convert to fraction form
    354,933/769,750.88 = 769,750.88/x
  3. Step 3: Cross multiply
    354,933x = 769,750.88 × 769,750.88
  4. Step 4: Simplify right side
    354,933x = 592,516,409,563.27
  5. Step 5: Solve for x
    x = 592,516,409,563.27/354,933
  6. Step 6: Final answer
    x = 1,669,375.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.