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Finding the Third Proportional to 367,394 and 807,067

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Solution

The third proportional to 367,394 and 807,067 is: 1,772,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,394 : 807,067 = 807,067 : x
  2. Step 2: Convert to fraction form
    367,394/807,067 = 807,067/x
  3. Step 3: Cross multiply
    367,394x = 807,067 × 807,067
  4. Step 4: Simplify right side
    367,394x = 651,357,142,489
  5. Step 5: Solve for x
    x = 651,357,142,489/367,394
  6. Step 6: Final answer
    x = 1,772,911.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.