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Finding the Third Proportional to 237,734 and 486,399

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Solution

The third proportional to 237,734 and 486,399 is: 995,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,734 : 486,399 = 486,399 : x
  2. Step 2: Convert to fraction form
    237,734/486,399 = 486,399/x
  3. Step 3: Cross multiply
    237,734x = 486,399 × 486,399
  4. Step 4: Simplify right side
    237,734x = 236,583,987,201
  5. Step 5: Solve for x
    x = 236,583,987,201/237,734
  6. Step 6: Final answer
    x = 995,162.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.