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Finding the Third Proportional to 405,578.81 and 938,889.56

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Solution

The third proportional to 405,578.81 and 938,889.56 is: 2,173,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,578.81 : 938,889.56 = 938,889.56 : x
  2. Step 2: Convert to fraction form
    405,578.81/938,889.56 = 938,889.56/x
  3. Step 3: Cross multiply
    405,578.81x = 938,889.56 × 938,889.56
  4. Step 4: Simplify right side
    405,578.81x = 881,513,610,571.44
  5. Step 5: Solve for x
    x = 881,513,610,571.44/405,578.81
  6. Step 6: Final answer
    x = 2,173,470.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.