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Finding the Third Proportional to 409.50 and 901.13

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Solution

The third proportional to 409.50 and 901.13 is: 1,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 901.13 = 901.13 : x
  2. Step 2: Convert to fraction form
    409.50/901.13 = 901.13/x
  3. Step 3: Cross multiply
    409.50x = 901.13 × 901.13
  4. Step 4: Simplify right side
    409.50x = 812,026.27
  5. Step 5: Solve for x
    x = 812,026.27/409.50
  6. Step 6: Final answer
    x = 1,982.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.