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Finding the Third Proportional to 250,286.06 and 518,315.06

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Solution

The third proportional to 250,286.06 and 518,315.06 is: 1,073,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,286.06 : 518,315.06 = 518,315.06 : x
  2. Step 2: Convert to fraction form
    250,286.06/518,315.06 = 518,315.06/x
  3. Step 3: Cross multiply
    250,286.06x = 518,315.06 × 518,315.06
  4. Step 4: Simplify right side
    250,286.06x = 268,650,504,014.38
  5. Step 5: Solve for x
    x = 268,650,504,014.38/250,286.06
  6. Step 6: Final answer
    x = 1,073,373.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.