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Finding the Third Proportional to 232,028 and 494,404

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Solution

The third proportional to 232,028 and 494,404 is: 1,053,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,028 : 494,404 = 494,404 : x
  2. Step 2: Convert to fraction form
    232,028/494,404 = 494,404/x
  3. Step 3: Cross multiply
    232,028x = 494,404 × 494,404
  4. Step 4: Simplify right side
    232,028x = 244,435,315,216
  5. Step 5: Solve for x
    x = 244,435,315,216/232,028
  6. Step 6: Final answer
    x = 1,053,473.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.