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Finding the Third Proportional to 227,491 and 356,834

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Solution

The third proportional to 227,491 and 356,834 is: 559,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,491 : 356,834 = 356,834 : x
  2. Step 2: Convert to fraction form
    227,491/356,834 = 356,834/x
  3. Step 3: Cross multiply
    227,491x = 356,834 × 356,834
  4. Step 4: Simplify right side
    227,491x = 127,330,503,556
  5. Step 5: Solve for x
    x = 127,330,503,556/227,491
  6. Step 6: Final answer
    x = 559,716.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.