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Finding the Third Proportional to 267,968 and 586,156

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Solution

The third proportional to 267,968 and 586,156 is: 1,282,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,968 : 586,156 = 586,156 : x
  2. Step 2: Convert to fraction form
    267,968/586,156 = 586,156/x
  3. Step 3: Cross multiply
    267,968x = 586,156 × 586,156
  4. Step 4: Simplify right side
    267,968x = 343,578,856,336
  5. Step 5: Solve for x
    x = 343,578,856,336/267,968
  6. Step 6: Final answer
    x = 1,282,163.75

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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.