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Finding the Third Proportional to 251,916 and 532,268

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Solution

The third proportional to 251,916 and 532,268 is: 1,124,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,916 : 532,268 = 532,268 : x
  2. Step 2: Convert to fraction form
    251,916/532,268 = 532,268/x
  3. Step 3: Cross multiply
    251,916x = 532,268 × 532,268
  4. Step 4: Simplify right side
    251,916x = 283,309,223,824
  5. Step 5: Solve for x
    x = 283,309,223,824/251,916
  6. Step 6: Final answer
    x = 1,124,617.82

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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.