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Finding the Third Proportional to 239,511 and 333,017.25

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Solution

The third proportional to 239,511 and 333,017.25 is: 463,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,511 : 333,017.25 = 333,017.25 : x
  2. Step 2: Convert to fraction form
    239,511/333,017.25 = 333,017.25/x
  3. Step 3: Cross multiply
    239,511x = 333,017.25 × 333,017.25
  4. Step 4: Simplify right side
    239,511x = 110,900,488,797.56
  5. Step 5: Solve for x
    x = 110,900,488,797.56/239,511
  6. Step 6: Final answer
    x = 463,028.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.