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Finding the Third Proportional to 267,975.50 and 426,563.25

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Solution

The third proportional to 267,975.50 and 426,563.25 is: 679,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,975.50 : 426,563.25 = 426,563.25 : x
  2. Step 2: Convert to fraction form
    267,975.50/426,563.25 = 426,563.25/x
  3. Step 3: Cross multiply
    267,975.50x = 426,563.25 × 426,563.25
  4. Step 4: Simplify right side
    267,975.50x = 181,956,206,250.56
  5. Step 5: Solve for x
    x = 181,956,206,250.56/267,975.50
  6. Step 6: Final answer
    x = 679,003.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.