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Finding the Third Proportional to 239,836 and 346,494

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Solution

The third proportional to 239,836 and 346,494 is: 500,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,836 : 346,494 = 346,494 : x
  2. Step 2: Convert to fraction form
    239,836/346,494 = 346,494/x
  3. Step 3: Cross multiply
    239,836x = 346,494 × 346,494
  4. Step 4: Simplify right side
    239,836x = 120,058,092,036
  5. Step 5: Solve for x
    x = 120,058,092,036/239,836
  6. Step 6: Final answer
    x = 500,584.12

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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.