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Finding the Third Proportional to 239,232 and 488,832

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Solution

The third proportional to 239,232 and 488,832 is: 998,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,232 : 488,832 = 488,832 : x
  2. Step 2: Convert to fraction form
    239,232/488,832 = 488,832/x
  3. Step 3: Cross multiply
    239,232x = 488,832 × 488,832
  4. Step 4: Simplify right side
    239,232x = 238,956,724,224
  5. Step 5: Solve for x
    x = 238,956,724,224/239,232
  6. Step 6: Final answer
    x = 998,849.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.