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Finding the Third Proportional to 550,496.25 and 1,167,147

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Solution

The third proportional to 550,496.25 and 1,167,147 is: 2,474,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,496.25 : 1,167,147 = 1,167,147 : x
  2. Step 2: Convert to fraction form
    550,496.25/1,167,147 = 1,167,147/x
  3. Step 3: Cross multiply
    550,496.25x = 1,167,147 × 1,167,147
  4. Step 4: Simplify right side
    550,496.25x = 1,362,232,119,609
  5. Step 5: Solve for x
    x = 1,362,232,119,609/550,496.25
  6. Step 6: Final answer
    x = 2,474,552.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.