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Finding the Third Proportional to 409.50 and 884.25

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Solution

The third proportional to 409.50 and 884.25 is: 1,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 884.25 = 884.25 : x
  2. Step 2: Convert to fraction form
    409.50/884.25 = 884.25/x
  3. Step 3: Cross multiply
    409.50x = 884.25 × 884.25
  4. Step 4: Simplify right side
    409.50x = 781,898.06
  5. Step 5: Solve for x
    x = 781,898.06/409.50
  6. Step 6: Final answer
    x = 1,909.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.