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Finding the Third Proportional to 396,772.50 and 881,835

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Solution

The third proportional to 396,772.50 and 881,835 is: 1,959,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,772.50 : 881,835 = 881,835 : x
  2. Step 2: Convert to fraction form
    396,772.50/881,835 = 881,835/x
  3. Step 3: Cross multiply
    396,772.50x = 881,835 × 881,835
  4. Step 4: Simplify right side
    396,772.50x = 777,632,967,225
  5. Step 5: Solve for x
    x = 777,632,967,225/396,772.50
  6. Step 6: Final answer
    x = 1,959,896.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.