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Finding the Third Proportional to 267,015.75 and 400,576.50

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Solution

The third proportional to 267,015.75 and 400,576.50 is: 600,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,015.75 : 400,576.50 = 400,576.50 : x
  2. Step 2: Convert to fraction form
    267,015.75/400,576.50 = 400,576.50/x
  3. Step 3: Cross multiply
    267,015.75x = 400,576.50 × 400,576.50
  4. Step 4: Simplify right side
    267,015.75x = 160,461,532,352.25
  5. Step 5: Solve for x
    x = 160,461,532,352.25/267,015.75
  6. Step 6: Final answer
    x = 600,944.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.