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Finding the Third Proportional to 412,062.75 and 883,260.56

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Solution

The third proportional to 412,062.75 and 883,260.56 is: 1,893,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,062.75 : 883,260.56 = 883,260.56 : x
  2. Step 2: Convert to fraction form
    412,062.75/883,260.56 = 883,260.56/x
  3. Step 3: Cross multiply
    412,062.75x = 883,260.56 × 883,260.56
  4. Step 4: Simplify right side
    412,062.75x = 780,149,221,267.82
  5. Step 5: Solve for x
    x = 780,149,221,267.82/412,062.75
  6. Step 6: Final answer
    x = 1,893,277.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.