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Finding the Third Proportional to 267,105 and 586,695

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Solution

The third proportional to 267,105 and 586,695 is: 1,288,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,105 : 586,695 = 586,695 : x
  2. Step 2: Convert to fraction form
    267,105/586,695 = 586,695/x
  3. Step 3: Cross multiply
    267,105x = 586,695 × 586,695
  4. Step 4: Simplify right side
    267,105x = 344,211,023,025
  5. Step 5: Solve for x
    x = 344,211,023,025/267,105
  6. Step 6: Final answer
    x = 1,288,673.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.