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Finding the Third Proportional to 236,662 and 509,408

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Solution

The third proportional to 236,662 and 509,408 is: 1,096,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,662 : 509,408 = 509,408 : x
  2. Step 2: Convert to fraction form
    236,662/509,408 = 509,408/x
  3. Step 3: Cross multiply
    236,662x = 509,408 × 509,408
  4. Step 4: Simplify right side
    236,662x = 259,496,510,464
  5. Step 5: Solve for x
    x = 259,496,510,464/236,662
  6. Step 6: Final answer
    x = 1,096,485.75

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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.