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Finding the Third Proportional to 250,286 and 518,315.50

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Solution

The third proportional to 250,286 and 518,315.50 is: 1,073,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,286 : 518,315.50 = 518,315.50 : x
  2. Step 2: Convert to fraction form
    250,286/518,315.50 = 518,315.50/x
  3. Step 3: Cross multiply
    250,286x = 518,315.50 × 518,315.50
  4. Step 4: Simplify right side
    250,286x = 268,650,957,540.25
  5. Step 5: Solve for x
    x = 268,650,957,540.25/250,286
  6. Step 6: Final answer
    x = 1,073,375.89

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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.