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Finding the Third Proportional to 442,305.56 and 967,418.12

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Solution

The third proportional to 442,305.56 and 967,418.12 is: 2,115,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,305.56 : 967,418.12 = 967,418.12 : x
  2. Step 2: Convert to fraction form
    442,305.56/967,418.12 = 967,418.12/x
  3. Step 3: Cross multiply
    442,305.56x = 967,418.12 × 967,418.12
  4. Step 4: Simplify right side
    442,305.56x = 935,897,821,020.56
  5. Step 5: Solve for x
    x = 935,897,821,020.56/442,305.56
  6. Step 6: Final answer
    x = 2,115,953.09

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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.