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Finding the Third Proportional to 239,232 and 512,796

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Solution

The third proportional to 239,232 and 512,796 is: 1,099,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,232 : 512,796 = 512,796 : x
  2. Step 2: Convert to fraction form
    239,232/512,796 = 512,796/x
  3. Step 3: Cross multiply
    239,232x = 512,796 × 512,796
  4. Step 4: Simplify right side
    239,232x = 262,959,737,616
  5. Step 5: Solve for x
    x = 262,959,737,616/239,232
  6. Step 6: Final answer
    x = 1,099,182.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.