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Finding the Third Proportional to 269,235 and 587,367

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Solution

The third proportional to 269,235 and 587,367 is: 1,281,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,235 : 587,367 = 587,367 : x
  2. Step 2: Convert to fraction form
    269,235/587,367 = 587,367/x
  3. Step 3: Cross multiply
    269,235x = 587,367 × 587,367
  4. Step 4: Simplify right side
    269,235x = 344,999,992,689
  5. Step 5: Solve for x
    x = 344,999,992,689/269,235
  6. Step 6: Final answer
    x = 1,281,408.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.