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Finding the Third Proportional to 361,082 and 558,802

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Solution

The third proportional to 361,082 and 558,802 is: 864,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,082 : 558,802 = 558,802 : x
  2. Step 2: Convert to fraction form
    361,082/558,802 = 558,802/x
  3. Step 3: Cross multiply
    361,082x = 558,802 × 558,802
  4. Step 4: Simplify right side
    361,082x = 312,259,675,204
  5. Step 5: Solve for x
    x = 312,259,675,204/361,082
  6. Step 6: Final answer
    x = 864,788.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.