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Finding the Third Proportional to 226,442 and 462,715

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Solution

The third proportional to 226,442 and 462,715 is: 945,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,442 : 462,715 = 462,715 : x
  2. Step 2: Convert to fraction form
    226,442/462,715 = 462,715/x
  3. Step 3: Cross multiply
    226,442x = 462,715 × 462,715
  4. Step 4: Simplify right side
    226,442x = 214,105,171,225
  5. Step 5: Solve for x
    x = 214,105,171,225/226,442
  6. Step 6: Final answer
    x = 945,518.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.