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Finding the Third Proportional to 239,337 and 486,522

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Solution

The third proportional to 239,337 and 486,522 is: 988,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,337 : 486,522 = 486,522 : x
  2. Step 2: Convert to fraction form
    239,337/486,522 = 486,522/x
  3. Step 3: Cross multiply
    239,337x = 486,522 × 486,522
  4. Step 4: Simplify right side
    239,337x = 236,703,656,484
  5. Step 5: Solve for x
    x = 236,703,656,484/239,337
  6. Step 6: Final answer
    x = 988,997.34

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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.