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Finding the Third Proportional to 363,928 and 790,016

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Solution

The third proportional to 363,928 and 790,016 is: 1,714,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,928 : 790,016 = 790,016 : x
  2. Step 2: Convert to fraction form
    363,928/790,016 = 790,016/x
  3. Step 3: Cross multiply
    363,928x = 790,016 × 790,016
  4. Step 4: Simplify right side
    363,928x = 624,125,280,256
  5. Step 5: Solve for x
    x = 624,125,280,256/363,928
  6. Step 6: Final answer
    x = 1,714,969.12

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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.