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Finding the Third Proportional to 267,950 and 586,120

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Solution

The third proportional to 267,950 and 586,120 is: 1,282,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,950 : 586,120 = 586,120 : x
  2. Step 2: Convert to fraction form
    267,950/586,120 = 586,120/x
  3. Step 3: Cross multiply
    267,950x = 586,120 × 586,120
  4. Step 4: Simplify right side
    267,950x = 343,536,654,400
  5. Step 5: Solve for x
    x = 343,536,654,400/267,950
  6. Step 6: Final answer
    x = 1,282,092.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.