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Finding the Third Proportional to 442,928.25 and 967,048.88

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Solution

The third proportional to 442,928.25 and 967,048.88 is: 2,111,365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,928.25 : 967,048.88 = 967,048.88 : x
  2. Step 2: Convert to fraction form
    442,928.25/967,048.88 = 967,048.88/x
  3. Step 3: Cross multiply
    442,928.25x = 967,048.88 × 967,048.88
  4. Step 4: Simplify right side
    442,928.25x = 935,183,526,638.77
  5. Step 5: Solve for x
    x = 935,183,526,638.77/442,928.25
  6. Step 6: Final answer
    x = 2,111,365.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.