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Finding the Third Proportional to 267,704 and 430,500

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Solution

The third proportional to 267,704 and 430,500 is: 692,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,704 : 430,500 = 430,500 : x
  2. Step 2: Convert to fraction form
    267,704/430,500 = 430,500/x
  3. Step 3: Cross multiply
    267,704x = 430,500 × 430,500
  4. Step 4: Simplify right side
    267,704x = 185,330,250,000
  5. Step 5: Solve for x
    x = 185,330,250,000/267,704
  6. Step 6: Final answer
    x = 692,295.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.