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Finding the Third Proportional to 203,793 and 479,516

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Solution

The third proportional to 203,793 and 479,516 is: 1,128,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,793 : 479,516 = 479,516 : x
  2. Step 2: Convert to fraction form
    203,793/479,516 = 479,516/x
  3. Step 3: Cross multiply
    203,793x = 479,516 × 479,516
  4. Step 4: Simplify right side
    203,793x = 229,935,594,256
  5. Step 5: Solve for x
    x = 229,935,594,256/203,793
  6. Step 6: Final answer
    x = 1,128,280.14

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.