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Finding the Third Proportional to 246,994.31 and 539,171.44

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Solution

The third proportional to 246,994.31 and 539,171.44 is: 1,176,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,994.31 : 539,171.44 = 539,171.44 : x
  2. Step 2: Convert to fraction form
    246,994.31/539,171.44 = 539,171.44/x
  3. Step 3: Cross multiply
    246,994.31x = 539,171.44 × 539,171.44
  4. Step 4: Simplify right side
    246,994.31x = 290,705,839,015.82
  5. Step 5: Solve for x
    x = 290,705,839,015.82/246,994.31
  6. Step 6: Final answer
    x = 1,176,973.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.