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Finding the Third Proportional to 267,529.75 and 557,203

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Solution

The third proportional to 267,529.75 and 557,203 is: 1,160,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,529.75 : 557,203 = 557,203 : x
  2. Step 2: Convert to fraction form
    267,529.75/557,203 = 557,203/x
  3. Step 3: Cross multiply
    267,529.75x = 557,203 × 557,203
  4. Step 4: Simplify right side
    267,529.75x = 310,475,183,209
  5. Step 5: Solve for x
    x = 310,475,183,209/267,529.75
  6. Step 6: Final answer
    x = 1,160,525.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.