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Finding the Third Proportional to 442,380.75 and 967,553.25

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Solution

The third proportional to 442,380.75 and 967,553.25 is: 2,116,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,380.75 : 967,553.25 = 967,553.25 : x
  2. Step 2: Convert to fraction form
    442,380.75/967,553.25 = 967,553.25/x
  3. Step 3: Cross multiply
    442,380.75x = 967,553.25 × 967,553.25
  4. Step 4: Simplify right side
    442,380.75x = 936,159,291,585.56
  5. Step 5: Solve for x
    x = 936,159,291,585.56/442,380.75
  6. Step 6: Final answer
    x = 2,116,184.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.