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Finding the Third Proportional to 262,037 and 558,391

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Solution

The third proportional to 262,037 and 558,391 is: 1,189,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,037 : 558,391 = 558,391 : x
  2. Step 2: Convert to fraction form
    262,037/558,391 = 558,391/x
  3. Step 3: Cross multiply
    262,037x = 558,391 × 558,391
  4. Step 4: Simplify right side
    262,037x = 311,800,508,881
  5. Step 5: Solve for x
    x = 311,800,508,881/262,037
  6. Step 6: Final answer
    x = 1,189,910.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.