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Finding the Third Proportional to 267,570 and 579,972

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Solution

The third proportional to 267,570 and 579,972 is: 1,257,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,570 : 579,972 = 579,972 : x
  2. Step 2: Convert to fraction form
    267,570/579,972 = 579,972/x
  3. Step 3: Cross multiply
    267,570x = 579,972 × 579,972
  4. Step 4: Simplify right side
    267,570x = 336,367,520,784
  5. Step 5: Solve for x
    x = 336,367,520,784/267,570
  6. Step 6: Final answer
    x = 1,257,119.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.