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Finding the Third Proportional to 384,046.31 and 792,900.56

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Solution

The third proportional to 384,046.31 and 792,900.56 is: 1,637,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,046.31 : 792,900.56 = 792,900.56 : x
  2. Step 2: Convert to fraction form
    384,046.31/792,900.56 = 792,900.56/x
  3. Step 3: Cross multiply
    384,046.31x = 792,900.56 × 792,900.56
  4. Step 4: Simplify right side
    384,046.31x = 628,691,302,012.82
  5. Step 5: Solve for x
    x = 628,691,302,012.82/384,046.31
  6. Step 6: Final answer
    x = 1,637,019.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.