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Finding the Third Proportional to 268,953.75 and 585,222.75

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Solution

The third proportional to 268,953.75 and 585,222.75 is: 1,273,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,953.75 : 585,222.75 = 585,222.75 : x
  2. Step 2: Convert to fraction form
    268,953.75/585,222.75 = 585,222.75/x
  3. Step 3: Cross multiply
    268,953.75x = 585,222.75 × 585,222.75
  4. Step 4: Simplify right side
    268,953.75x = 342,485,667,117.56
  5. Step 5: Solve for x
    x = 342,485,667,117.56/268,953.75
  6. Step 6: Final answer
    x = 1,273,399.86

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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.