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Finding the Third Proportional to 396,142.03 and 594,298.41

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Solution

The third proportional to 396,142.03 and 594,298.41 is: 891,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,142.03 : 594,298.41 = 594,298.41 : x
  2. Step 2: Convert to fraction form
    396,142.03/594,298.41 = 594,298.41/x
  3. Step 3: Cross multiply
    396,142.03x = 594,298.41 × 594,298.41
  4. Step 4: Simplify right side
    396,142.03x = 353,190,595,671.29
  5. Step 5: Solve for x
    x = 353,190,595,671.29/396,142.03
  6. Step 6: Final answer
    x = 891,575.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.