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Finding the Third Proportional to 236,671 and 509,427

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Solution

The third proportional to 236,671 and 509,427 is: 1,096,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,671 : 509,427 = 509,427 : x
  2. Step 2: Convert to fraction form
    236,671/509,427 = 509,427/x
  3. Step 3: Cross multiply
    236,671x = 509,427 × 509,427
  4. Step 4: Simplify right side
    236,671x = 259,515,868,329
  5. Step 5: Solve for x
    x = 259,515,868,329/236,671
  6. Step 6: Final answer
    x = 1,096,525.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.