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Finding the Third Proportional to 407,494.75 and 884,998.75

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Solution

The third proportional to 407,494.75 and 884,998.75 is: 1,922,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,494.75 : 884,998.75 = 884,998.75 : x
  2. Step 2: Convert to fraction form
    407,494.75/884,998.75 = 884,998.75/x
  3. Step 3: Cross multiply
    407,494.75x = 884,998.75 × 884,998.75
  4. Step 4: Simplify right side
    407,494.75x = 783,222,787,501.56
  5. Step 5: Solve for x
    x = 783,222,787,501.56/407,494.75
  6. Step 6: Final answer
    x = 1,922,043.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.