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Finding the Third Proportional to 338,298 and 727,626

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Solution

The third proportional to 338,298 and 727,626 is: 1,565,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,298 : 727,626 = 727,626 : x
  2. Step 2: Convert to fraction form
    338,298/727,626 = 727,626/x
  3. Step 3: Cross multiply
    338,298x = 727,626 × 727,626
  4. Step 4: Simplify right side
    338,298x = 529,439,595,876
  5. Step 5: Solve for x
    x = 529,439,595,876/338,298
  6. Step 6: Final answer
    x = 1,565,009.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.