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Finding the Third Proportional to 267,966.75 and 574,786.50

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Solution

The third proportional to 267,966.75 and 574,786.50 is: 1,232,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,966.75 : 574,786.50 = 574,786.50 : x
  2. Step 2: Convert to fraction form
    267,966.75/574,786.50 = 574,786.50/x
  3. Step 3: Cross multiply
    267,966.75x = 574,786.50 × 574,786.50
  4. Step 4: Simplify right side
    267,966.75x = 330,379,520,582.25
  5. Step 5: Solve for x
    x = 330,379,520,582.25/267,966.75
  6. Step 6: Final answer
    x = 1,232,912.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.