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Finding the Third Proportional to 354,933.38 and 769,752.75

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Solution

The third proportional to 354,933.38 and 769,752.75 is: 1,669,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,933.38 : 769,752.75 = 769,752.75 : x
  2. Step 2: Convert to fraction form
    354,933.38/769,752.75 = 769,752.75/x
  3. Step 3: Cross multiply
    354,933.38x = 769,752.75 × 769,752.75
  4. Step 4: Simplify right side
    354,933.38x = 592,519,296,132.56
  5. Step 5: Solve for x
    x = 592,519,296,132.56/354,933.38
  6. Step 6: Final answer
    x = 1,669,381.74

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Why These Related Problems?

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