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Finding the Third Proportional to 267,394 and 594,559

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Solution

The third proportional to 267,394 and 594,559 is: 1,322,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,394 : 594,559 = 594,559 : x
  2. Step 2: Convert to fraction form
    267,394/594,559 = 594,559/x
  3. Step 3: Cross multiply
    267,394x = 594,559 × 594,559
  4. Step 4: Simplify right side
    267,394x = 353,500,404,481
  5. Step 5: Solve for x
    x = 353,500,404,481/267,394
  6. Step 6: Final answer
    x = 1,322,020.71

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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.