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Finding the Third Proportional to 236,789.44 and 523,413

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Solution

The third proportional to 236,789.44 and 523,413 is: 1,156,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,789.44 : 523,413 = 523,413 : x
  2. Step 2: Convert to fraction form
    236,789.44/523,413 = 523,413/x
  3. Step 3: Cross multiply
    236,789.44x = 523,413 × 523,413
  4. Step 4: Simplify right side
    236,789.44x = 273,961,168,569
  5. Step 5: Solve for x
    x = 273,961,168,569/236,789.44
  6. Step 6: Final answer
    x = 1,156,982.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.