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Finding the Third Proportional to 239,810 and 486,344

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Solution

The third proportional to 239,810 and 486,344 is: 986,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,810 : 486,344 = 486,344 : x
  2. Step 2: Convert to fraction form
    239,810/486,344 = 486,344/x
  3. Step 3: Cross multiply
    239,810x = 486,344 × 486,344
  4. Step 4: Simplify right side
    239,810x = 236,530,486,336
  5. Step 5: Solve for x
    x = 236,530,486,336/239,810
  6. Step 6: Final answer
    x = 986,324.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.