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Finding the Third Proportional to 267,709 and 414,524

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Solution

The third proportional to 267,709 and 414,524 is: 641,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,709 : 414,524 = 414,524 : x
  2. Step 2: Convert to fraction form
    267,709/414,524 = 414,524/x
  3. Step 3: Cross multiply
    267,709x = 414,524 × 414,524
  4. Step 4: Simplify right side
    267,709x = 171,830,146,576
  5. Step 5: Solve for x
    x = 171,830,146,576/267,709
  6. Step 6: Final answer
    x = 641,854.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.