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Finding the Third Proportional to 267,960 and 579,661

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Solution

The third proportional to 267,960 and 579,661 is: 1,253,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,960 : 579,661 = 579,661 : x
  2. Step 2: Convert to fraction form
    267,960/579,661 = 579,661/x
  3. Step 3: Cross multiply
    267,960x = 579,661 × 579,661
  4. Step 4: Simplify right side
    267,960x = 336,006,874,921
  5. Step 5: Solve for x
    x = 336,006,874,921/267,960
  6. Step 6: Final answer
    x = 1,253,944.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.