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Finding the Third Proportional to 267,371 and 594,517

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Solution

The third proportional to 267,371 and 594,517 is: 1,321,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,371 : 594,517 = 594,517 : x
  2. Step 2: Convert to fraction form
    267,371/594,517 = 594,517/x
  3. Step 3: Cross multiply
    267,371x = 594,517 × 594,517
  4. Step 4: Simplify right side
    267,371x = 353,450,463,289
  5. Step 5: Solve for x
    x = 353,450,463,289/267,371
  6. Step 6: Final answer
    x = 1,321,947.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.