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Finding the Third Proportional to 409.50 and 946.13

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Solution

The third proportional to 409.50 and 946.13 is: 2,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 946.13 = 946.13 : x
  2. Step 2: Convert to fraction form
    409.50/946.13 = 946.13/x
  3. Step 3: Cross multiply
    409.50x = 946.13 × 946.13
  4. Step 4: Simplify right side
    409.50x = 895,152.52
  5. Step 5: Solve for x
    x = 895,152.52/409.50
  6. Step 6: Final answer
    x = 2,185.96

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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.