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Finding the Third Proportional to 396,814.50 and 881,910

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Solution

The third proportional to 396,814.50 and 881,910 is: 1,960,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,814.50 : 881,910 = 881,910 : x
  2. Step 2: Convert to fraction form
    396,814.50/881,910 = 881,910/x
  3. Step 3: Cross multiply
    396,814.50x = 881,910 × 881,910
  4. Step 4: Simplify right side
    396,814.50x = 777,765,248,100
  5. Step 5: Solve for x
    x = 777,765,248,100/396,814.50
  6. Step 6: Final answer
    x = 1,960,022.25

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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.