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Finding the Third Proportional to 239,838 and 346,497

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Solution

The third proportional to 239,838 and 346,497 is: 500,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,838 : 346,497 = 346,497 : x
  2. Step 2: Convert to fraction form
    239,838/346,497 = 346,497/x
  3. Step 3: Cross multiply
    239,838x = 346,497 × 346,497
  4. Step 4: Simplify right side
    239,838x = 120,060,171,009
  5. Step 5: Solve for x
    x = 120,060,171,009/239,838
  6. Step 6: Final answer
    x = 500,588.61

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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.