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Finding the Third Proportional to 267,720 and 430,524

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Solution

The third proportional to 267,720 and 430,524 is: 692,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,720 : 430,524 = 430,524 : x
  2. Step 2: Convert to fraction form
    267,720/430,524 = 430,524/x
  3. Step 3: Cross multiply
    267,720x = 430,524 × 430,524
  4. Step 4: Simplify right side
    267,720x = 185,350,914,576
  5. Step 5: Solve for x
    x = 185,350,914,576/267,720
  6. Step 6: Final answer
    x = 692,331.22

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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.