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Finding the Third Proportional to 232,884.75 and 474,333

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Solution

The third proportional to 232,884.75 and 474,333 is: 966,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,884.75 : 474,333 = 474,333 : x
  2. Step 2: Convert to fraction form
    232,884.75/474,333 = 474,333/x
  3. Step 3: Cross multiply
    232,884.75x = 474,333 × 474,333
  4. Step 4: Simplify right side
    232,884.75x = 224,991,794,889
  5. Step 5: Solve for x
    x = 224,991,794,889/232,884.75
  6. Step 6: Final answer
    x = 966,107.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.