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Finding the Third Proportional to 239,824 and 346,474

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Solution

The third proportional to 239,824 and 346,474 is: 500,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,824 : 346,474 = 346,474 : x
  2. Step 2: Convert to fraction form
    239,824/346,474 = 346,474/x
  3. Step 3: Cross multiply
    239,824x = 346,474 × 346,474
  4. Step 4: Simplify right side
    239,824x = 120,044,232,676
  5. Step 5: Solve for x
    x = 120,044,232,676/239,824
  6. Step 6: Final answer
    x = 500,551.37

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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.