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Finding the Third Proportional to 239,304 and 518,232

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Solution

The third proportional to 239,304 and 518,232 is: 1,122,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,304 : 518,232 = 518,232 : x
  2. Step 2: Convert to fraction form
    239,304/518,232 = 518,232/x
  3. Step 3: Cross multiply
    239,304x = 518,232 × 518,232
  4. Step 4: Simplify right side
    239,304x = 268,564,405,824
  5. Step 5: Solve for x
    x = 268,564,405,824/239,304
  6. Step 6: Final answer
    x = 1,122,272.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.