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Finding the Third Proportional to 203,918 and 444,700

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Solution

The third proportional to 203,918 and 444,700 is: 969,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,918 : 444,700 = 444,700 : x
  2. Step 2: Convert to fraction form
    203,918/444,700 = 444,700/x
  3. Step 3: Cross multiply
    203,918x = 444,700 × 444,700
  4. Step 4: Simplify right side
    203,918x = 197,758,090,000
  5. Step 5: Solve for x
    x = 197,758,090,000/203,918
  6. Step 6: Final answer
    x = 969,792.22

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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.