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Finding the Third Proportional to 354,933 and 768,882

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Solution

The third proportional to 354,933 and 768,882 is: 1,665,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,933 : 768,882 = 768,882 : x
  2. Step 2: Convert to fraction form
    354,933/768,882 = 768,882/x
  3. Step 3: Cross multiply
    354,933x = 768,882 × 768,882
  4. Step 4: Simplify right side
    354,933x = 591,179,529,924
  5. Step 5: Solve for x
    x = 591,179,529,924/354,933
  6. Step 6: Final answer
    x = 1,665,608.80

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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.