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Finding the Third Proportional to 239,839 and 346,498

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Solution

The third proportional to 239,839 and 346,498 is: 500,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,839 : 346,498 = 346,498 : x
  2. Step 2: Convert to fraction form
    239,839/346,498 = 346,498/x
  3. Step 3: Cross multiply
    239,839x = 346,498 × 346,498
  4. Step 4: Simplify right side
    239,839x = 120,060,864,004
  5. Step 5: Solve for x
    x = 120,060,864,004/239,839
  6. Step 6: Final answer
    x = 500,589.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.