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Finding the Third Proportional to 251,884 and 532,195

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Solution

The third proportional to 251,884 and 532,195 is: 1,124,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,884 : 532,195 = 532,195 : x
  2. Step 2: Convert to fraction form
    251,884/532,195 = 532,195/x
  3. Step 3: Cross multiply
    251,884x = 532,195 × 532,195
  4. Step 4: Simplify right side
    251,884x = 283,231,518,025
  5. Step 5: Solve for x
    x = 283,231,518,025/251,884
  6. Step 6: Final answer
    x = 1,124,452.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.