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Finding the Third Proportional to 239,477.63 and 332,972.44

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Solution

The third proportional to 239,477.63 and 332,972.44 is: 462,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,477.63 : 332,972.44 = 332,972.44 : x
  2. Step 2: Convert to fraction form
    239,477.63/332,972.44 = 332,972.44/x
  3. Step 3: Cross multiply
    239,477.63x = 332,972.44 × 332,972.44
  4. Step 4: Simplify right side
    239,477.63x = 110,870,644,134.69
  5. Step 5: Solve for x
    x = 110,870,644,134.69/239,477.63
  6. Step 6: Final answer
    x = 462,968.70

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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.