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Finding the Third Proportional to 380,074 and 825,860

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Solution

The third proportional to 380,074 and 825,860 is: 1,794,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,074 : 825,860 = 825,860 : x
  2. Step 2: Convert to fraction form
    380,074/825,860 = 825,860/x
  3. Step 3: Cross multiply
    380,074x = 825,860 × 825,860
  4. Step 4: Simplify right side
    380,074x = 682,044,739,600
  5. Step 5: Solve for x
    x = 682,044,739,600/380,074
  6. Step 6: Final answer
    x = 1,794,505.12

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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.