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Finding the Third Proportional to 277,269.75 and 567,654.75

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Solution

The third proportional to 277,269.75 and 567,654.75 is: 1,162,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,269.75 : 567,654.75 = 567,654.75 : x
  2. Step 2: Convert to fraction form
    277,269.75/567,654.75 = 567,654.75/x
  3. Step 3: Cross multiply
    277,269.75x = 567,654.75 × 567,654.75
  4. Step 4: Simplify right side
    277,269.75x = 322,231,915,197.56
  5. Step 5: Solve for x
    x = 322,231,915,197.56/277,269.75
  6. Step 6: Final answer
    x = 1,162,160.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.