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Finding the Third Proportional to 341,932 and 744,067

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Solution

The third proportional to 341,932 and 744,067 is: 1,619,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,932 : 744,067 = 744,067 : x
  2. Step 2: Convert to fraction form
    341,932/744,067 = 744,067/x
  3. Step 3: Cross multiply
    341,932x = 744,067 × 744,067
  4. Step 4: Simplify right side
    341,932x = 553,635,700,489
  5. Step 5: Solve for x
    x = 553,635,700,489/341,932
  6. Step 6: Final answer
    x = 1,619,139.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.