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Finding the Third Proportional to 354,932.25 and 769,750.50

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Solution

The third proportional to 354,932.25 and 769,750.50 is: 1,669,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,932.25 : 769,750.50 = 769,750.50 : x
  2. Step 2: Convert to fraction form
    354,932.25/769,750.50 = 769,750.50/x
  3. Step 3: Cross multiply
    354,932.25x = 769,750.50 × 769,750.50
  4. Step 4: Simplify right side
    354,932.25x = 592,515,832,250.25
  5. Step 5: Solve for x
    x = 592,515,832,250.25/354,932.25
  6. Step 6: Final answer
    x = 1,669,377.27

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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.