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Finding the Third Proportional to 550,309.50 and 1,286,376.75

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Solution

The third proportional to 550,309.50 and 1,286,376.75 is: 3,006,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,309.50 : 1,286,376.75 = 1,286,376.75 : x
  2. Step 2: Convert to fraction form
    550,309.50/1,286,376.75 = 1,286,376.75/x
  3. Step 3: Cross multiply
    550,309.50x = 1,286,376.75 × 1,286,376.75
  4. Step 4: Simplify right side
    550,309.50x = 1,654,765,142,940.56
  5. Step 5: Solve for x
    x = 1,654,765,142,940.56/550,309.50
  6. Step 6: Final answer
    x = 3,006,971.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.