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Finding the Third Proportional to 204,484 and 444,968

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Solution

The third proportional to 204,484 and 444,968 is: 968,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,484 : 444,968 = 444,968 : x
  2. Step 2: Convert to fraction form
    204,484/444,968 = 444,968/x
  3. Step 3: Cross multiply
    204,484x = 444,968 × 444,968
  4. Step 4: Simplify right side
    204,484x = 197,996,521,024
  5. Step 5: Solve for x
    x = 197,996,521,024/204,484
  6. Step 6: Final answer
    x = 968,273.90

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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.