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Finding the Third Proportional to 260,037 and 558,885

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Solution

The third proportional to 260,037 and 558,885 is: 1,201,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,037 : 558,885 = 558,885 : x
  2. Step 2: Convert to fraction form
    260,037/558,885 = 558,885/x
  3. Step 3: Cross multiply
    260,037x = 558,885 × 558,885
  4. Step 4: Simplify right side
    260,037x = 312,352,443,225
  5. Step 5: Solve for x
    x = 312,352,443,225/260,037
  6. Step 6: Final answer
    x = 1,201,184.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.