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Finding the Third Proportional to 267,000 and 583,233

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Solution

The third proportional to 267,000 and 583,233 is: 1,274,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,000 : 583,233 = 583,233 : x
  2. Step 2: Convert to fraction form
    267,000/583,233 = 583,233/x
  3. Step 3: Cross multiply
    267,000x = 583,233 × 583,233
  4. Step 4: Simplify right side
    267,000x = 340,160,732,289
  5. Step 5: Solve for x
    x = 340,160,732,289/267,000
  6. Step 6: Final answer
    x = 1,274,010.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.