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Finding the Third Proportional to 255,400 and 518,096

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Solution

The third proportional to 255,400 and 518,096 is: 1,050,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,400 : 518,096 = 518,096 : x
  2. Step 2: Convert to fraction form
    255,400/518,096 = 518,096/x
  3. Step 3: Cross multiply
    255,400x = 518,096 × 518,096
  4. Step 4: Simplify right side
    255,400x = 268,423,465,216
  5. Step 5: Solve for x
    x = 268,423,465,216/255,400
  6. Step 6: Final answer
    x = 1,050,992.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.