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Finding the Third Proportional to 409 and 944

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Solution

The third proportional to 409 and 944 is: 2,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 944 = 944 : x
  2. Step 2: Convert to fraction form
    409/944 = 944/x
  3. Step 3: Cross multiply
    409x = 944 × 944
  4. Step 4: Simplify right side
    409x = 891,136
  5. Step 5: Solve for x
    x = 891,136/409
  6. Step 6: Final answer
    x = 2,178.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.