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Finding the Third Proportional to 409.88 and 864.75

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Solution

The third proportional to 409.88 and 864.75 is: 1,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.88 : 864.75 = 864.75 : x
  2. Step 2: Convert to fraction form
    409.88/864.75 = 864.75/x
  3. Step 3: Cross multiply
    409.88x = 864.75 × 864.75
  4. Step 4: Simplify right side
    409.88x = 747,792.56
  5. Step 5: Solve for x
    x = 747,792.56/409.88
  6. Step 6: Final answer
    x = 1,824.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.