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Finding the Third Proportional to 269,236 and 587,368

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Solution

The third proportional to 269,236 and 587,368 is: 1,281,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,236 : 587,368 = 587,368 : x
  2. Step 2: Convert to fraction form
    269,236/587,368 = 587,368/x
  3. Step 3: Cross multiply
    269,236x = 587,368 × 587,368
  4. Step 4: Simplify right side
    269,236x = 345,001,167,424
  5. Step 5: Solve for x
    x = 345,001,167,424/269,236
  6. Step 6: Final answer
    x = 1,281,408.01

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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.