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Finding the Third Proportional to 482,553.75 and 952,996.50

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Solution

The third proportional to 482,553.75 and 952,996.50 is: 1,882,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,553.75 : 952,996.50 = 952,996.50 : x
  2. Step 2: Convert to fraction form
    482,553.75/952,996.50 = 952,996.50/x
  3. Step 3: Cross multiply
    482,553.75x = 952,996.50 × 952,996.50
  4. Step 4: Simplify right side
    482,553.75x = 908,202,329,012.25
  5. Step 5: Solve for x
    x = 908,202,329,012.25/482,553.75
  6. Step 6: Final answer
    x = 1,882,074.96

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.