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Finding the Third Proportional to 224,942 and 458,910

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Solution

The third proportional to 224,942 and 458,910 is: 936,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,942 : 458,910 = 458,910 : x
  2. Step 2: Convert to fraction form
    224,942/458,910 = 458,910/x
  3. Step 3: Cross multiply
    224,942x = 458,910 × 458,910
  4. Step 4: Simplify right side
    224,942x = 210,598,388,100
  5. Step 5: Solve for x
    x = 210,598,388,100/224,942
  6. Step 6: Final answer
    x = 936,234.18

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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.